A gas is heated at constant pressure. The fraction of heat absorbed used in doing work is — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

The fraction of heat converted to work during an isobaric expansion is $\frac{W}{q_p} = \frac{n R \Delta T}{n C_p \Delta T} = \frac{R}{C_p} = \frac{C_p - C_v}{C_p} = 1 - \frac{C_v}{C_p} = 1 - \frac{1}{\gamma}$.