Heat required to raise the temperatuer of 1 mol of a gas by `1^(@)C` is q at constant volume and q' at constant pressure. Will q be greater than, less than or equal to q'? Explain.

Explanation

The heat required to raise the temperature of 1 mol of a gas by `1^(@)` at constant pressure is greater than that required at constant volume. At constant pressure, the heat absorbed by a gas is used up in two ways. One part of it is used by the gas for doing external work, and teh remaining part is utilised for increasing the temperature of the gas. at constant volume, the heat absorbed by a gas is completely utilised for increasing the temperature of teh gas as no external (P-V work) is possible at constant volume. therefore, q' must be greater than q.