How great a temperature change occurs for a gas at 350 mm hg and 220 l if it occupied 500 l at 0â°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