id int64 1 14M | domain stringclasses 6
values | topic stringclasses 23
values | subtopic stringclasses 37
values | difficulty int64 1 8 | unit_type stringclasses 3
values | title stringlengths 14 86 | content stringlengths 203 553 | key_equations stringclasses 23
values | prerequisites stringclasses 29
values | learning_objective stringclasses 37
values |
|---|---|---|---|---|---|---|---|---|---|---|
4,501 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.05 mol, V=5.222 L, T=590.3 K | For an ideal gas, P V = n R T. With n = 4.05 mol, V = 5.222 L, T = 590.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 37.57 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,502 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.8546 mol, V=24.75 L, T=545.9 K | For an ideal gas, P V = n R T. With n = 0.8546 mol, V = 24.75 L, T = 545.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.547 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,503 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.257 mol, V=31.02 L, T=256.5 K | For an ideal gas, P V = n R T. With n = 1.257 mol, V = 31.02 L, T = 256.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.8533 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,504 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.373 mol, V=28.55 L, T=489.2 K | For an ideal gas, P V = n R T. With n = 2.373 mol, V = 28.55 L, T = 489.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.337 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,505 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.17 mol, V=12.98 L, T=507 K | For an ideal gas, P V = n R T. With n = 1.17 mol, V = 12.98 L, T = 507 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.751 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,506 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.564 mol, V=7.955 L, T=335.1 K | For an ideal gas, P V = n R T. With n = 1.564 mol, V = 7.955 L, T = 335.1 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 5.407 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,507 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.614 mol, V=20.62 L, T=426.1 K | For an ideal gas, P V = n R T. With n = 1.614 mol, V = 20.62 L, T = 426.1 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.737 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,508 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.0378 mol, V=37.87 L, T=476.2 K | For an ideal gas, P V = n R T. With n = 0.0378 mol, V = 37.87 L, T = 476.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.039 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,509 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.976 mol, V=15.99 L, T=418.2 K | For an ideal gas, P V = n R T. With n = 3.976 mol, V = 15.99 L, T = 418.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 8.53 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,510 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.264 mol, V=35.59 L, T=328.7 K | For an ideal gas, P V = n R T. With n = 3.264 mol, V = 35.59 L, T = 328.7 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.474 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,511 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.577 mol, V=49.64 L, T=543.5 K | For an ideal gas, P V = n R T. With n = 2.577 mol, V = 49.64 L, T = 543.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.315 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,512 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.4164 mol, V=35.11 L, T=242 K | For an ideal gas, P V = n R T. With n = 0.4164 mol, V = 35.11 L, T = 242 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.2355 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,513 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.885 mol, V=8.524 L, T=502.8 K | For an ideal gas, P V = n R T. With n = 1.885 mol, V = 8.524 L, T = 502.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 9.122 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,514 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.743 mol, V=22.16 L, T=266.5 K | For an ideal gas, P V = n R T. With n = 3.743 mol, V = 22.16 L, T = 266.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.693 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,515 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.86 mol, V=21.5 L, T=215.6 K | For an ideal gas, P V = n R T. With n = 4.86 mol, V = 21.5 L, T = 215.6 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,516 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.8619 mol, V=24.62 L, T=521.3 K | For an ideal gas, P V = n R T. With n = 0.8619 mol, V = 24.62 L, T = 521.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.498 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,517 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.747 mol, V=20.27 L, T=418.8 K | For an ideal gas, P V = n R T. With n = 3.747 mol, V = 20.27 L, T = 418.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 6.354 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,518 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.491 mol, V=15.06 L, T=374.2 K | For an ideal gas, P V = n R T. With n = 1.491 mol, V = 15.06 L, T = 374.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.039 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,519 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.611 mol, V=26.36 L, T=470.7 K | For an ideal gas, P V = n R T. With n = 4.611 mol, V = 26.36 L, T = 470.7 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 6.755 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,520 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.079 mol, V=32.69 L, T=348.7 K | For an ideal gas, P V = n R T. With n = 3.079 mol, V = 32.69 L, T = 348.7 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.695 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,521 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.7162 mol, V=10.62 L, T=409.3 K | For an ideal gas, P V = n R T. With n = 0.7162 mol, V = 10.62 L, T = 409.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.265 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,522 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.074 mol, V=26.21 L, T=485.8 K | For an ideal gas, P V = n R T. With n = 3.074 mol, V = 26.21 L, T = 485.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.675 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,523 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.264 mol, V=46.84 L, T=385.2 K | For an ideal gas, P V = n R T. With n = 1.264 mol, V = 46.84 L, T = 385.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.8526 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,524 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.636 mol, V=42.69 L, T=488.1 K | For an ideal gas, P V = n R T. With n = 4.636 mol, V = 42.69 L, T = 488.1 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.349 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,525 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.6853 mol, V=41.56 L, T=409.8 K | For an ideal gas, P V = n R T. With n = 0.6853 mol, V = 41.56 L, T = 409.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.5545 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,526 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.05901 mol, V=7.942 L, T=366.5 K | For an ideal gas, P V = n R T. With n = 0.05901 mol, V = 7.942 L, T = 366.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.2235 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,527 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.3446 mol, V=15.94 L, T=590.8 K | For an ideal gas, P V = n R T. With n = 0.3446 mol, V = 15.94 L, T = 590.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.048 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,528 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.9465 mol, V=27.12 L, T=477.6 K | For an ideal gas, P V = n R T. With n = 0.9465 mol, V = 27.12 L, T = 477.6 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.368 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,529 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.662 mol, V=23.7 L, T=224.4 K | For an ideal gas, P V = n R T. With n = 1.662 mol, V = 23.7 L, T = 224.4 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.291 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,530 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.7907 mol, V=28.18 L, T=340.2 K | For an ideal gas, P V = n R T. With n = 0.7907 mol, V = 28.18 L, T = 340.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.7833 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,531 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.138 mol, V=46.43 L, T=451.5 K | For an ideal gas, P V = n R T. With n = 1.138 mol, V = 46.43 L, T = 451.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.908 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,532 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.38 mol, V=43.47 L, T=528.3 K | For an ideal gas, P V = n R T. With n = 1.38 mol, V = 43.47 L, T = 528.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.376 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,533 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.926 mol, V=31.41 L, T=322.3 K | For an ideal gas, P V = n R T. With n = 2.926 mol, V = 31.41 L, T = 322.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.464 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,534 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.022 mol, V=27.28 L, T=301.9 K | For an ideal gas, P V = n R T. With n = 2.022 mol, V = 27.28 L, T = 301.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.836 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,535 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.3 mol, V=8.045 L, T=231 K | For an ideal gas, P V = n R T. With n = 3.3 mol, V = 8.045 L, T = 231 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 7.776 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,536 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.656 mol, V=13.52 L, T=312 K | For an ideal gas, P V = n R T. With n = 3.656 mol, V = 13.52 L, T = 312 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 6.925 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,537 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.5206 mol, V=29.57 L, T=518.8 K | For an ideal gas, P V = n R T. With n = 0.5206 mol, V = 29.57 L, T = 518.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.7494 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,538 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.833 mol, V=38.71 L, T=332.1 K | For an ideal gas, P V = n R T. With n = 3.833 mol, V = 38.71 L, T = 332.1 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.698 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,539 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.965 mol, V=40.46 L, T=310.9 K | For an ideal gas, P V = n R T. With n = 2.965 mol, V = 40.46 L, T = 310.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.869 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,540 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.358 mol, V=23.93 L, T=467.4 K | For an ideal gas, P V = n R T. With n = 4.358 mol, V = 23.93 L, T = 467.4 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 6.984 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,541 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.8488 mol, V=49.46 L, T=513.3 K | For an ideal gas, P V = n R T. With n = 0.8488 mol, V = 49.46 L, T = 513.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.7229 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,542 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.4658 mol, V=7.751 L, T=521.3 K | For an ideal gas, P V = n R T. With n = 0.4658 mol, V = 7.751 L, T = 521.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.571 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,543 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.8324 mol, V=16.51 L, T=549.8 K | For an ideal gas, P V = n R T. With n = 0.8324 mol, V = 16.51 L, T = 549.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.276 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,544 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.481 mol, V=25.83 L, T=220.9 K | For an ideal gas, P V = n R T. With n = 4.481 mol, V = 25.83 L, T = 220.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.144 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,545 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.204 mol, V=16.69 L, T=465.9 K | For an ideal gas, P V = n R T. With n = 2.204 mol, V = 16.69 L, T = 465.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 5.049 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,546 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.507 mol, V=28.23 L, T=246.9 K | For an ideal gas, P V = n R T. With n = 2.507 mol, V = 28.23 L, T = 246.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.799 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,547 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.893 mol, V=23.99 L, T=354.2 K | For an ideal gas, P V = n R T. With n = 1.893 mol, V = 23.99 L, T = 354.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.294 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,548 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.566 mol, V=26.77 L, T=408.8 K | For an ideal gas, P V = n R T. With n = 1.566 mol, V = 26.77 L, T = 408.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.962 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,549 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.418 mol, V=47.79 L, T=536.9 K | For an ideal gas, P V = n R T. With n = 4.418 mol, V = 47.79 L, T = 536.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.072 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,550 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.728 mol, V=35.71 L, T=533.4 K | For an ideal gas, P V = n R T. With n = 4.728 mol, V = 35.71 L, T = 533.4 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 5.795 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,551 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.201 mol, V=24.76 L, T=424.2 K | For an ideal gas, P V = n R T. With n = 4.201 mol, V = 24.76 L, T = 424.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 5.906 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,552 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.947 mol, V=28.12 L, T=474.1 K | For an ideal gas, P V = n R T. With n = 3.947 mol, V = 28.12 L, T = 474.1 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 5.462 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,553 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.183 mol, V=1.752 L, T=339.3 K | For an ideal gas, P V = n R T. With n = 2.183 mol, V = 1.752 L, T = 339.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 34.68 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,554 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.835 mol, V=33.67 L, T=386.4 K | For an ideal gas, P V = n R T. With n = 1.835 mol, V = 33.67 L, T = 386.4 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.728 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,555 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.645 mol, V=28.21 L, T=285.5 K | For an ideal gas, P V = n R T. With n = 3.645 mol, V = 28.21 L, T = 285.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.027 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,556 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.99 mol, V=19.43 L, T=575.8 K | For an ideal gas, P V = n R T. With n = 4.99 mol, V = 19.43 L, T = 575.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 12.13 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,557 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.9032 mol, V=1.028 L, T=499.1 K | For an ideal gas, P V = n R T. With n = 0.9032 mol, V = 1.028 L, T = 499.1 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 35.97 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,558 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.216 mol, V=0.7779 L, T=410.4 K | For an ideal gas, P V = n R T. With n = 2.216 mol, V = 0.7779 L, T = 410.4 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 95.93 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,559 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.559 mol, V=18.76 L, T=237.6 K | For an ideal gas, P V = n R T. With n = 1.559 mol, V = 18.76 L, T = 237.6 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.62 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,560 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.276 mol, V=30.54 L, T=568.6 K | For an ideal gas, P V = n R T. With n = 1.276 mol, V = 30.54 L, T = 568.6 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.95 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,561 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.1773 mol, V=24.2 L, T=310 K | For an ideal gas, P V = n R T. With n = 0.1773 mol, V = 24.2 L, T = 310 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.1864 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,562 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.2291 mol, V=13.03 L, T=478.2 K | For an ideal gas, P V = n R T. With n = 0.2291 mol, V = 13.03 L, T = 478.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.6903 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,563 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.13 mol, V=41.25 L, T=588.5 K | For an ideal gas, P V = n R T. With n = 3.13 mol, V = 41.25 L, T = 588.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.664 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,564 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.317 mol, V=49.86 L, T=571 K | For an ideal gas, P V = n R T. With n = 4.317 mol, V = 49.86 L, T = 571 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.057 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,565 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.165 mol, V=23.94 L, T=396.1 K | For an ideal gas, P V = n R T. With n = 3.165 mol, V = 23.94 L, T = 396.1 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.298 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,566 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.376 mol, V=40.47 L, T=500.2 K | For an ideal gas, P V = n R T. With n = 4.376 mol, V = 40.47 L, T = 500.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.439 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,567 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.2006 mol, V=44.77 L, T=211.5 K | For an ideal gas, P V = n R T. With n = 0.2006 mol, V = 44.77 L, T = 211.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.07778 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,568 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.7744 mol, V=43.61 L, T=494.5 K | For an ideal gas, P V = n R T. With n = 0.7744 mol, V = 43.61 L, T = 494.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.7205 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,569 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.6669 mol, V=42.37 L, T=367.8 K | For an ideal gas, P V = n R T. With n = 0.6669 mol, V = 42.37 L, T = 367.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.4751 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,570 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.2897 mol, V=3.585 L, T=455 K | For an ideal gas, P V = n R T. With n = 0.2897 mol, V = 3.585 L, T = 455 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.017 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,571 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.4964 mol, V=49.18 L, T=417.6 K | For an ideal gas, P V = n R T. With n = 0.4964 mol, V = 49.18 L, T = 417.6 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.3459 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,572 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.979 mol, V=1.325 L, T=445.6 K | For an ideal gas, P V = n R T. With n = 0.979 mol, V = 1.325 L, T = 445.6 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 27.01 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,573 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.188 mol, V=16.17 L, T=539.3 K | For an ideal gas, P V = n R T. With n = 4.188 mol, V = 16.17 L, T = 539.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 11.46 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,574 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.549 mol, V=29.55 L, T=562.3 K | For an ideal gas, P V = n R T. With n = 3.549 mol, V = 29.55 L, T = 562.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 5.542 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,575 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.722 mol, V=47.06 L, T=406.5 K | For an ideal gas, P V = n R T. With n = 4.722 mol, V = 47.06 L, T = 406.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.348 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,576 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.022 mol, V=33.65 L, T=535.1 K | For an ideal gas, P V = n R T. With n = 2.022 mol, V = 33.65 L, T = 535.1 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.638 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,577 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.3341 mol, V=25.33 L, T=530 K | For an ideal gas, P V = n R T. With n = 0.3341 mol, V = 25.33 L, T = 530 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.5738 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,578 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.647 mol, V=22.45 L, T=233.6 K | For an ideal gas, P V = n R T. With n = 3.647 mol, V = 22.45 L, T = 233.6 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.114 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,579 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.385 mol, V=25.52 L, T=279.5 K | For an ideal gas, P V = n R T. With n = 1.385 mol, V = 25.52 L, T = 279.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.244 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,580 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.8731 mol, V=41.97 L, T=498.7 K | For an ideal gas, P V = n R T. With n = 0.8731 mol, V = 41.97 L, T = 498.7 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.8513 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,581 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.02609 mol, V=17.86 L, T=309.5 K | For an ideal gas, P V = n R T. With n = 0.02609 mol, V = 17.86 L, T = 309.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 0.0371 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,582 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.714 mol, V=34.97 L, T=427.3 K | For an ideal gas, P V = n R T. With n = 1.714 mol, V = 34.97 L, T = 427.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.718 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,583 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.835 mol, V=6.255 L, T=385.2 K | For an ideal gas, P V = n R T. With n = 2.835 mol, V = 6.255 L, T = 385.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 14.33 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,584 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.4619 mol, V=9.69 L, T=491.8 K | For an ideal gas, P V = n R T. With n = 0.4619 mol, V = 9.69 L, T = 491.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.924 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,585 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.96 mol, V=38.45 L, T=586.3 K | For an ideal gas, P V = n R T. With n = 2.96 mol, V = 38.45 L, T = 586.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.703 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,586 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.946 mol, V=19.04 L, T=287 K | For an ideal gas, P V = n R T. With n = 3.946 mol, V = 19.04 L, T = 287 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.881 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,587 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.4156 mol, V=12.71 L, T=489.7 K | For an ideal gas, P V = n R T. With n = 0.4156 mol, V = 12.71 L, T = 489.7 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.314 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,588 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.188 mol, V=45.12 L, T=456.9 K | For an ideal gas, P V = n R T. With n = 4.188 mol, V = 45.12 L, T = 456.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.48 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,589 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.9635 mol, V=7.07 L, T=502.3 K | For an ideal gas, P V = n R T. With n = 0.9635 mol, V = 7.07 L, T = 502.3 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 5.617 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,590 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.2761 mol, V=9.311 L, T=482.4 K | For an ideal gas, P V = n R T. With n = 0.2761 mol, V = 9.311 L, T = 482.4 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.174 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,591 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.7107 mol, V=11.69 L, T=326.2 K | For an ideal gas, P V = n R T. With n = 0.7107 mol, V = 11.69 L, T = 326.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.628 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,592 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=0.9493 mol, V=9.267 L, T=553.4 K | For an ideal gas, P V = n R T. With n = 0.9493 mol, V = 9.267 L, T = 553.4 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.652 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,593 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.482 mol, V=13.59 L, T=479 K | For an ideal gas, P V = n R T. With n = 1.482 mol, V = 13.59 L, T = 479 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.284 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,594 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=2.455 mol, V=17.77 L, T=431.5 K | For an ideal gas, P V = n R T. With n = 2.455 mol, V = 17.77 L, T = 431.5 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 4.891 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,595 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.213 mol, V=31.74 L, T=379.9 K | For an ideal gas, P V = n R T. With n = 3.213 mol, V = 31.74 L, T = 379.9 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 3.156 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,596 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=4.16 mol, V=41.82 L, T=214.7 K | For an ideal gas, P V = n R T. With n = 4.16 mol, V = 41.82 L, T = 214.7 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 1.753 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,597 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=1.935 mol, V=10.93 L, T=415.2 K | For an ideal gas, P V = n R T. With n = 1.935 mol, V = 10.93 L, T = 415.2 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 6.031 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,598 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.514 mol, V=40.64 L, T=338.8 K | For an ideal gas, P V = n R T. With n = 3.514 mol, V = 40.64 L, T = 338.8 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.404 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,599 | chemistry | gases | ideal_gas_law | 4 | worked_example | Ideal-gas pressure for n=3.983 mol, V=35.13 L, T=283 K | For an ideal gas, P V = n R T. With n = 3.983 mol, V = 35.13 L, T = 283 K and R = 0.082057 L·atm·mol⁻¹·K⁻¹, the pressure is P = n R T / V = 2.633 atm. Real gases approach ideal behavior at low pressure and high temperature relative to their critical points. | P V = n R T | mole_concept | Apply the ideal-gas law to compute pressure, volume, or temperature. |
4,600 | chemistry | acids_bases | strong_acid_ph | 4 | worked_example | pH of strong acid at concentration 0.003246 M | A strong monoprotic acid is fully dissociated. At concentration 0.003246 mol/L, [H⁺] = 0.003246 M and pH = −log₁₀[H⁺] = 2.489. This relation follows directly from the definition of pH and the complete dissociation assumption. | pH = -log10 [H+] | mole_concept; logarithmic functions | Calculate the pH of a strong monoprotic acid solution. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.