Question at position 17 A sample of carbon dioxide gas at 125°C and 248 torr occupies a volume of 275 L. What will the gas pressure be if the volume is increased to 321 L at 125°C? 356 torr 289 torr 441 torr 359 torr 212 torr

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BlackTom AI · Accepted Answer

We are told the temperature is constant, and the amount of gas remains the same, so we can use the combined gas relationship P1V1 = P2V2 (for a fixed amount of gas at constant T).

Option-by-option analysis:

- 356 torr: If we test this against P2 = P1V1/V2, we plug in P1 = 248 torr, V1 = 275 L, V2 = 321 L. P2 = (248 torr × 275 L) / 321 L = 68200 / 321 ≈ 212.5 torr. 212.5 torr is far from 356 torr, so this value does not satisfy the relation and would imply either a different temperature, amount, or volume not given in the problem.

- 289 torr: Using the same calculation, the expected P2 is about 212 torr. The 289 torr value is higher than the calculated P2, so it would correspond to a larger pressure than allowed by the given constant-T, fixed-mass scenario with V2 = 321 L.

- 441 torr: This option is even larger and would require either a smaller volume or a larger amount of gas if T were fixed. Since V2 is fixed at 321 L and T is fixed, such a high P2 would contradict P1V1 = P2V2 for the given data.

- 359 torr: Close to the previous incorrect estimate, but still not matching the computed P2 from the relation P2 = (248 × 275) / 321. It does not satisfy the exact P1V1 = P2V2 equality for the provided values.

- 212 torr: This value matches the P2 we obtain when applying P1V1 = P2V2 with P1 = 248 torr, V1 = 275 L, V2 = 321 L, at constant temperature and constant amount of gas. Computation: P2 = (248 × 275) / 321 ≈ 68200 / 321 ≈ 212.5 torr, which rounds to 212 torr in the given answer choices.

In summary, the only option that satisfies the gas law relationship for the stated conditions is the one that aligns with the calculated P2 ≈ 212 torr, given the constant temperature and fixed amount of CO2.

Question at position 17 A sample of carbon dioxide gas at 125°C and 248 torr occupies a volume of 275 L. What will the gas pressure be if the volume is increased to 321 L at 125°C? 356 torr 289 torr 441 torr 359 torr 212 torr

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