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How great a temperature change occurs for a gas at 350 mm Hg and 220 L if it occupied 500 L at 0°C and 700 mm Hg?

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scme1702
For a fixed amount of gas, the following statements may be combined:
The pressure is inversely proportional to the volume
The volume and pressure are directly proportional to the temperature

To give the mathematical expression:
PV/T = constant, where T is the absolute temperature

Substituting the values from the initial and final conditions:

(700 * 500) / (273) = (350 * 220) / T
T = 60.06 K

The temperature change was of -212.94 °C

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