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?

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