A piston of mass M is hung from a massless spring whose restoring force law goes as F=−kx3, where k is the spring constant of appropriate dimension. The piston separates the vertical chamber into two parts, where the bottom part is filled with ' n ' moles of an ideal gas. An external work is done on the gas isothermally (at a constant temperature T ) with the help of a heating filament (with negligible volume) mounted in lower part of the chamber, so that the piston goes up from a height L0 to L1, the total energy delivered by the filament is: (Assume spring to be in its natural length before heating)
[3 Apr 2025 Shift 1]

Question

Examsnet · Accepted Answer

Correct Answer is : nrT‌ln(‌L1L0)+Mg(L1−L0)+‌k4(L14−L04)

Thermodynamics Part 5