Hi everyone. I thought of a question which has been bothering me. It is: Is there a case where energy is added to an ideal gas of constant amount where the energy added will equal the work done by the gas. My thoughts: The energy of an ideal gas is proportional to the temperature. If the gas is to do work ΔW≠0 W=Fx=PV. If the gas is to do work on the environment then PV will increase. Using the ideal gas equation P1V1/T1=P2V2/T2. If P2V2 > P1V1 then T2 > T1. Therefore energy of the system has increased and it is impossible for the energy added to the ideal gas to equal the work done by the gas. I don't know if I made an incorrect assumption or faulty argument, but the result doesn't seem intuitive to me. Any thoughts would be appreciated!