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values | title stringlengths 14 86 | content stringlengths 203 553 | key_equations stringclasses 23
values | prerequisites stringclasses 29
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801 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.6564 c | A clock moving at velocity v = 0.6564 c relative to an inertial observer measures a proper time interval Δτ = 6.848 s. The observer measures a dilated interval Δt = γ Δτ = 9.078 s, where γ = 1 / sqrt(1 − v²/c²) = 1.326. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
802 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.3187 c | A clock moving at velocity v = 0.3187 c relative to an inertial observer measures a proper time interval Δτ = 8.216 s. The observer measures a dilated interval Δt = γ Δτ = 8.668 s, where γ = 1 / sqrt(1 − v²/c²) = 1.055. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
803 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.9215 c | A clock moving at velocity v = 0.9215 c relative to an inertial observer measures a proper time interval Δτ = 6.417 s. The observer measures a dilated interval Δt = γ Δτ = 16.53 s, where γ = 1 / sqrt(1 − v²/c²) = 2.575. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
804 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.517 c | A clock moving at velocity v = 0.517 c relative to an inertial observer measures a proper time interval Δτ = 1.682 s. The observer measures a dilated interval Δt = γ Δτ = 1.965 s, where γ = 1 / sqrt(1 − v²/c²) = 1.168. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
805 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.7757 c | A clock moving at velocity v = 0.7757 c relative to an inertial observer measures a proper time interval Δτ = 1.693 s. The observer measures a dilated interval Δt = γ Δτ = 2.682 s, where γ = 1 / sqrt(1 − v²/c²) = 1.585. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
806 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.7123 c | A clock moving at velocity v = 0.7123 c relative to an inertial observer measures a proper time interval Δτ = 4.883 s. The observer measures a dilated interval Δt = γ Δτ = 6.957 s, where γ = 1 / sqrt(1 − v²/c²) = 1.425. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
807 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.8794 c | A clock moving at velocity v = 0.8794 c relative to an inertial observer measures a proper time interval Δτ = 5.421 s. The observer measures a dilated interval Δt = γ Δτ = 11.39 s, where γ = 1 / sqrt(1 − v²/c²) = 2.1. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
808 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.6455 c | A clock moving at velocity v = 0.6455 c relative to an inertial observer measures a proper time interval Δτ = 0.5873 s. The observer measures a dilated interval Δt = γ Δτ = 0.769 s, where γ = 1 / sqrt(1 − v²/c²) = 1.309. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
809 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.1288 c | A clock moving at velocity v = 0.1288 c relative to an inertial observer measures a proper time interval Δτ = 8.467 s. The observer measures a dilated interval Δt = γ Δτ = 8.538 s, where γ = 1 / sqrt(1 − v²/c²) = 1.008. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
810 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.9034 c | A clock moving at velocity v = 0.9034 c relative to an inertial observer measures a proper time interval Δτ = 6.682 s. The observer measures a dilated interval Δt = γ Δτ = 15.58 s, where γ = 1 / sqrt(1 − v²/c²) = 2.332. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
811 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.7497 c | A clock moving at velocity v = 0.7497 c relative to an inertial observer measures a proper time interval Δτ = 4.124 s. The observer measures a dilated interval Δt = γ Δτ = 6.231 s, where γ = 1 / sqrt(1 − v²/c²) = 1.511. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
812 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.8162 c | A clock moving at velocity v = 0.8162 c relative to an inertial observer measures a proper time interval Δτ = 2.314 s. The observer measures a dilated interval Δt = γ Δτ = 4.005 s, where γ = 1 / sqrt(1 − v²/c²) = 1.731. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
813 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.7011 c | A clock moving at velocity v = 0.7011 c relative to an inertial observer measures a proper time interval Δτ = 0.09142 s. The observer measures a dilated interval Δt = γ Δτ = 0.1282 s, where γ = 1 / sqrt(1 − v²/c²) = 1.402. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
814 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.5299 c | A clock moving at velocity v = 0.5299 c relative to an inertial observer measures a proper time interval Δτ = 3.732 s. The observer measures a dilated interval Δt = γ Δτ = 4.401 s, where γ = 1 / sqrt(1 − v²/c²) = 1.179. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
815 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.6252 c | A clock moving at velocity v = 0.6252 c relative to an inertial observer measures a proper time interval Δτ = 6.668 s. The observer measures a dilated interval Δt = γ Δτ = 8.543 s, where γ = 1 / sqrt(1 − v²/c²) = 1.281. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
816 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.624 c | A clock moving at velocity v = 0.624 c relative to an inertial observer measures a proper time interval Δτ = 4.832 s. The observer measures a dilated interval Δt = γ Δτ = 6.184 s, where γ = 1 / sqrt(1 − v²/c²) = 1.28. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
817 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.5147 c | A clock moving at velocity v = 0.5147 c relative to an inertial observer measures a proper time interval Δτ = 0.06612 s. The observer measures a dilated interval Δt = γ Δτ = 0.07712 s, where γ = 1 / sqrt(1 − v²/c²) = 1.166. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
818 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.5689 c | A clock moving at velocity v = 0.5689 c relative to an inertial observer measures a proper time interval Δτ = 0.1185 s. The observer measures a dilated interval Δt = γ Δτ = 0.1441 s, where γ = 1 / sqrt(1 − v²/c²) = 1.216. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
819 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.55 c | A clock moving at velocity v = 0.55 c relative to an inertial observer measures a proper time interval Δτ = 2.747 s. The observer measures a dilated interval Δt = γ Δτ = 3.29 s, where γ = 1 / sqrt(1 − v²/c²) = 1.197. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
820 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.9309 c | A clock moving at velocity v = 0.9309 c relative to an inertial observer measures a proper time interval Δτ = 0.1714 s. The observer measures a dilated interval Δt = γ Δτ = 0.4692 s, where γ = 1 / sqrt(1 − v²/c²) = 2.737. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
821 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.7912 c | A clock moving at velocity v = 0.7912 c relative to an inertial observer measures a proper time interval Δτ = 6.74 s. The observer measures a dilated interval Δt = γ Δτ = 11.02 s, where γ = 1 / sqrt(1 − v²/c²) = 1.635. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
822 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.7852 c | A clock moving at velocity v = 0.7852 c relative to an inertial observer measures a proper time interval Δτ = 9.098 s. The observer measures a dilated interval Δt = γ Δτ = 14.69 s, where γ = 1 / sqrt(1 − v²/c²) = 1.615. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
823 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.191 c | A clock moving at velocity v = 0.191 c relative to an inertial observer measures a proper time interval Δτ = 0.9631 s. The observer measures a dilated interval Δt = γ Δτ = 0.9812 s, where γ = 1 / sqrt(1 − v²/c²) = 1.019. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
824 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.2266 c | A clock moving at velocity v = 0.2266 c relative to an inertial observer measures a proper time interval Δτ = 1.919 s. The observer measures a dilated interval Δt = γ Δτ = 1.971 s, where γ = 1 / sqrt(1 − v²/c²) = 1.027. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
825 | physics | relativity | time_dilation | 8 | worked_example | Time dilation at v = 0.5475 c | A clock moving at velocity v = 0.5475 c relative to an inertial observer measures a proper time interval Δτ = 8.152 s. The observer measures a dilated interval Δt = γ Δτ = 9.742 s, where γ = 1 / sqrt(1 − v²/c²) = 1.195. Time dilation is a direct consequence of the invariance of the spacetime interval. | Δt = γ Δτ; γ = 1 / sqrt(1 - v²/c²) | classical kinematics | Calculate the time-dilation factor and the dilated time interval. |
826 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 2.6733e-26 kg, speed 3.9696e+06 m/s | A free particle of mass 2.6733e-26 kg moving at speed 3.9696e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 6.2440e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
827 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 3.7306e-26 kg, speed 4.0609e+06 m/s | A free particle of mass 3.7306e-26 kg moving at speed 4.0609e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 4.3738e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
828 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 5.6501e-26 kg, speed 9.9023e+06 m/s | A free particle of mass 5.6501e-26 kg moving at speed 9.9023e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.1843e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
829 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 2.2586e-26 kg, speed 6.8407e+06 m/s | A free particle of mass 2.2586e-26 kg moving at speed 6.8407e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 4.2885e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
830 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 8.4787e-26 kg, speed 6.5377e+06 m/s | A free particle of mass 8.4787e-26 kg moving at speed 6.5377e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.1954e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
831 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 8.5822e-26 kg, speed 7.5961e+06 m/s | A free particle of mass 8.5822e-26 kg moving at speed 7.5961e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.0164e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
832 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 9.3510e-27 kg, speed 3.7933e+06 m/s | A free particle of mass 9.3510e-27 kg moving at speed 3.7933e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.8680e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
833 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 5.5271e-26 kg, speed 5.6209e+05 m/s | A free particle of mass 5.5271e-26 kg moving at speed 5.6209e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.1328e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
834 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 9.4601e-28 kg, speed 1.7147e+06 m/s | A free particle of mass 9.4601e-28 kg moving at speed 1.7147e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 4.0849e-13 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
835 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 4.9986e-26 kg, speed 4.3397e+06 m/s | A free particle of mass 4.9986e-26 kg moving at speed 4.3397e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 3.0546e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
836 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 7.8438e-26 kg, speed 5.6590e+06 m/s | A free particle of mass 7.8438e-26 kg moving at speed 5.6590e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.4928e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
837 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 8.5796e-26 kg, speed 9.5452e+05 m/s | A free particle of mass 8.5796e-26 kg moving at speed 9.5452e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 8.0910e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
838 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 5.2816e-26 kg, speed 4.2648e+05 m/s | A free particle of mass 5.2816e-26 kg moving at speed 4.2648e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.9417e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
839 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 2.1142e-26 kg, speed 8.6813e+06 m/s | A free particle of mass 2.1142e-26 kg moving at speed 8.6813e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 3.6101e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
840 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 8.8756e-26 kg, speed 4.7555e+06 m/s | A free particle of mass 8.8756e-26 kg moving at speed 4.7555e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.5699e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
841 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 4.6572e-27 kg, speed 7.4441e+05 m/s | A free particle of mass 4.6572e-27 kg moving at speed 7.4441e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.9113e-13 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
842 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 9.2559e-26 kg, speed 8.9932e+06 m/s | A free particle of mass 9.2559e-26 kg moving at speed 8.9932e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 7.9602e-16 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
843 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 5.6351e-26 kg, speed 3.2998e+05 m/s | A free particle of mass 5.6351e-26 kg moving at speed 3.2998e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 3.5633e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
844 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 9.2877e-26 kg, speed 3.1455e+06 m/s | A free particle of mass 9.2877e-26 kg moving at speed 3.1455e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.2681e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
845 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 9.6147e-26 kg, speed 5.8708e+06 m/s | A free particle of mass 9.6147e-26 kg moving at speed 5.8708e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.1739e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
846 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 7.5226e-26 kg, speed 7.1274e+06 m/s | A free particle of mass 7.5226e-26 kg moving at speed 7.1274e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.2358e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
847 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 3.9830e-26 kg, speed 7.7030e+05 m/s | A free particle of mass 3.9830e-26 kg moving at speed 7.7030e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.1597e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
848 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 1.6246e-26 kg, speed 2.4055e+06 m/s | A free particle of mass 1.6246e-26 kg moving at speed 2.4055e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.6956e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
849 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 8.3465e-26 kg, speed 3.8922e+06 m/s | A free particle of mass 8.3465e-26 kg moving at speed 3.8922e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.0397e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
850 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 8.9653e-26 kg, speed 3.3180e+06 m/s | A free particle of mass 8.9653e-26 kg moving at speed 3.3180e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.2275e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
851 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 7.5561e-26 kg, speed 1.4004e+06 m/s | A free particle of mass 7.5561e-26 kg moving at speed 1.4004e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 6.2620e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
852 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 9.8848e-26 kg, speed 7.2419e+06 m/s | A free particle of mass 9.8848e-26 kg moving at speed 7.2419e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 9.2563e-16 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
853 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 5.0080e-26 kg, speed 9.7433e+06 m/s | A free particle of mass 5.0080e-26 kg moving at speed 9.7433e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.3580e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
854 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 5.3706e-27 kg, speed 4.3714e+06 m/s | A free particle of mass 5.3706e-27 kg moving at speed 4.3714e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.8223e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
855 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 8.3868e-26 kg, speed 3.4066e+06 m/s | A free particle of mass 8.3868e-26 kg moving at speed 3.4066e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.3192e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
856 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 7.6901e-26 kg, speed 9.5486e+06 m/s | A free particle of mass 7.6901e-26 kg moving at speed 9.5486e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 9.0237e-16 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
857 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 3.9671e-26 kg, speed 7.7358e+06 m/s | A free particle of mass 3.9671e-26 kg moving at speed 7.7358e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.1591e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
858 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 2.9635e-27 kg, speed 2.7340e+06 m/s | A free particle of mass 2.9635e-27 kg moving at speed 2.7340e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 8.1780e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
859 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 9.9259e-26 kg, speed 4.9065e+06 m/s | A free particle of mass 9.9259e-26 kg moving at speed 4.9065e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.3605e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
860 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 3.5582e-26 kg, speed 9.4115e+06 m/s | A free particle of mass 3.5582e-26 kg moving at speed 9.4115e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.9787e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
861 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 4.3185e-26 kg, speed 6.7973e+06 m/s | A free particle of mass 4.3185e-26 kg moving at speed 6.7973e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.2573e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
862 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 6.6068e-26 kg, speed 8.5786e+05 m/s | A free particle of mass 6.6068e-26 kg moving at speed 8.5786e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.1691e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
863 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 6.1862e-26 kg, speed 7.9808e+06 m/s | A free particle of mass 6.1862e-26 kg moving at speed 7.9808e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.3421e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
864 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 7.1311e-26 kg, speed 8.2130e+05 m/s | A free particle of mass 7.1311e-26 kg moving at speed 8.2130e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.1314e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
865 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 1.5423e-26 kg, speed 7.1171e+06 m/s | A free particle of mass 1.5423e-26 kg moving at speed 7.1171e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 6.0365e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
866 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 6.3390e-26 kg, speed 7.3968e+06 m/s | A free particle of mass 6.3390e-26 kg moving at speed 7.3968e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.4131e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
867 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 3.1669e-26 kg, speed 1.0664e+06 m/s | A free particle of mass 3.1669e-26 kg moving at speed 1.0664e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 1.9620e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
868 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 5.2052e-28 kg, speed 3.0834e+06 m/s | A free particle of mass 5.2052e-28 kg moving at speed 3.0834e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 4.1285e-13 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
869 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 3.5992e-26 kg, speed 2.6984e+06 m/s | A free particle of mass 3.5992e-26 kg moving at speed 2.6984e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 6.8224e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
870 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 1.3252e-26 kg, speed 1.8747e+06 m/s | A free particle of mass 1.3252e-26 kg moving at speed 1.8747e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.6672e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
871 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 4.4885e-26 kg, speed 5.5478e+06 m/s | A free particle of mass 4.4885e-26 kg moving at speed 5.5478e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.6609e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
872 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 4.0805e-26 kg, speed 2.6359e+05 m/s | A free particle of mass 4.0805e-26 kg moving at speed 2.6359e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 6.1604e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
873 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 3.5392e-26 kg, speed 9.3155e+05 m/s | A free particle of mass 3.5392e-26 kg moving at speed 9.3155e+05 m/s has de Broglie wavelength λ = h / p = h / (m v) = 2.0098e-14 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
874 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 5.9805e-26 kg, speed 3.2450e+06 m/s | A free particle of mass 5.9805e-26 kg moving at speed 3.2450e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 3.4144e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
875 | physics | quantum | de_broglie | 7 | worked_example | de Broglie wavelength of particle mass 3.8524e-26 kg, speed 2.9192e+06 m/s | A free particle of mass 3.8524e-26 kg moving at speed 2.9192e+06 m/s has de Broglie wavelength λ = h / p = h / (m v) = 5.8919e-15 m, where h is Planck's constant. This relation underlies the wave-particle duality of matter and is confirmed by electron diffraction experiments. | λ = h / p | wave_speed; classical momentum | Compute the de Broglie wavelength of a massive particle. |
876 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CH4 from mass 77.94 g | The molar mass of CH4 is 16.04 g/mol. A sample of mass 77.94 g therefore contains n = m / M = 77.94 / 16.04 = 4.858 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
877 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of Fe2O3 from mass 90.53 g | The molar mass of Fe2O3 is 159.7 g/mol. A sample of mass 90.53 g therefore contains n = m / M = 90.53 / 159.7 = 0.5669 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
878 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of C6H12O6 from mass 57.24 g | The molar mass of C6H12O6 is 180.2 g/mol. A sample of mass 57.24 g therefore contains n = m / M = 57.24 / 180.2 = 0.3177 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
879 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of NaCl from mass 68.56 g | The molar mass of NaCl is 58.44 g/mol. A sample of mass 68.56 g therefore contains n = m / M = 68.56 / 58.44 = 1.173 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
880 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of NaCl from mass 13.97 g | The molar mass of NaCl is 58.44 g/mol. A sample of mass 13.97 g therefore contains n = m / M = 13.97 / 58.44 = 0.2391 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
881 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of H2SO4 from mass 26.91 g | The molar mass of H2SO4 is 98.07 g/mol. A sample of mass 26.91 g therefore contains n = m / M = 26.91 / 98.07 = 0.2744 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
882 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of NaCl from mass 6.42 g | The molar mass of NaCl is 58.44 g/mol. A sample of mass 6.42 g therefore contains n = m / M = 6.42 / 58.44 = 0.1099 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
883 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CH4 from mass 27.67 g | The molar mass of CH4 is 16.04 g/mol. A sample of mass 27.67 g therefore contains n = m / M = 27.67 / 16.04 = 1.725 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
884 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of H2SO4 from mass 48.47 g | The molar mass of H2SO4 is 98.07 g/mol. A sample of mass 48.47 g therefore contains n = m / M = 48.47 / 98.07 = 0.4943 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
885 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CO2 from mass 36.18 g | The molar mass of CO2 is 44.01 g/mol. A sample of mass 36.18 g therefore contains n = m / M = 36.18 / 44.01 = 0.822 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
886 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of C6H12O6 from mass 72.12 g | The molar mass of C6H12O6 is 180.2 g/mol. A sample of mass 72.12 g therefore contains n = m / M = 72.12 / 180.2 = 0.4003 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
887 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CaCO3 from mass 59.42 g | The molar mass of CaCO3 is 100.1 g/mol. A sample of mass 59.42 g therefore contains n = m / M = 59.42 / 100.1 = 0.5937 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
888 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of C6H12O6 from mass 45.84 g | The molar mass of C6H12O6 is 180.2 g/mol. A sample of mass 45.84 g therefore contains n = m / M = 45.84 / 180.2 = 0.2544 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
889 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of NaCl from mass 30.54 g | The molar mass of NaCl is 58.44 g/mol. A sample of mass 30.54 g therefore contains n = m / M = 30.54 / 58.44 = 0.5225 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
890 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CH4 from mass 33.29 g | The molar mass of CH4 is 16.04 g/mol. A sample of mass 33.29 g therefore contains n = m / M = 33.29 / 16.04 = 2.075 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
891 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CuSO4 from mass 38.05 g | The molar mass of CuSO4 is 159.6 g/mol. A sample of mass 38.05 g therefore contains n = m / M = 38.05 / 159.6 = 0.2384 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
892 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of NH3 from mass 44.08 g | The molar mass of NH3 is 17.03 g/mol. A sample of mass 44.08 g therefore contains n = m / M = 44.08 / 17.03 = 2.588 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
893 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CH4 from mass 81.57 g | The molar mass of CH4 is 16.04 g/mol. A sample of mass 81.57 g therefore contains n = m / M = 81.57 / 16.04 = 5.084 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
894 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CuSO4 from mass 13.7 g | The molar mass of CuSO4 is 159.6 g/mol. A sample of mass 13.7 g therefore contains n = m / M = 13.7 / 159.6 = 0.08583 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
895 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of NH3 from mass 60.36 g | The molar mass of NH3 is 17.03 g/mol. A sample of mass 60.36 g therefore contains n = m / M = 60.36 / 17.03 = 3.544 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
896 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of C6H12O6 from mass 47.95 g | The molar mass of C6H12O6 is 180.2 g/mol. A sample of mass 47.95 g therefore contains n = m / M = 47.95 / 180.2 = 0.2662 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
897 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of NaCl from mass 96.46 g | The molar mass of NaCl is 58.44 g/mol. A sample of mass 96.46 g therefore contains n = m / M = 96.46 / 58.44 = 1.651 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
898 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of NH3 from mass 29.22 g | The molar mass of NH3 is 17.03 g/mol. A sample of mass 29.22 g therefore contains n = m / M = 29.22 / 17.03 = 1.715 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
899 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of CaCO3 from mass 96.78 g | The molar mass of CaCO3 is 100.1 g/mol. A sample of mass 96.78 g therefore contains n = m / M = 96.78 / 100.1 = 0.967 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
900 | chemistry | stoichiometry | mole_concept | 3 | worked_example | Moles of C6H12O6 from mass 32.66 g | The molar mass of C6H12O6 is 180.2 g/mol. A sample of mass 32.66 g therefore contains n = m / M = 32.66 / 180.2 = 0.1813 mol. The mole is the SI unit for amount of substance and links macroscopic mass to number of entities via Avogadro's constant. | n = m / M | atomic masses; chemical formulas | Convert between mass and moles for a pure compound. |
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