Question

An ideal gas slowly expanded from 2m3 to 3m3 at a constant temperature of 30degrees Celsius. The entropy change of the gas was +47j/k during the process. How much heat was added to the gas during the process? Ii) how much work did the gas do during the process?

Answer 1

(i) How much heat was added to the gas during the process?

$$\Delta S=Q/T→Q=\Delta ST=14241\text{ J}.$$

(ii) How much work did the gas do during the isothermal process of expansion?

$$W=-Q=-14241\text{ J}.$$