QUESTION #1 Phase Change and Melting

During the melting of a slab of ice at 273mathrm~K$273\mathrm{~K}$ at atmospheric pressure:

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QUESTION #11 Isothermal Expansion with Non-Linear Spring

A piston of mass M$M$ is hung from a massless spring whose restoring force law goes as F = -kx^3$F = -kx^3$, where k$k$ is the spring constant of appropriate dimension. The piston separates the vertical chamber into two parts, where the bottom part is filled with 'n$n$' moles of an ideal gas. An external work is done on the gas isothermally (at a constant temperature T$T$) 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 L_0$L_0$ to L_1$L_1$, the total energy delivered by the filament is (Assume spring to be in its natural length before heating) {{IMG1}}

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QUESTION #12 Adiabatic Compression

A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of 800~mathrmcm^3$800~\mathrm{cm}^3$ and temperature 27^circmathrmC$27^{\circ}\mathrm{C}$ . The change in temperature when the gas is adiabatically compressed to 200~mathrmcm^3$200~\mathrm{cm}^3$ is: (Take gamma = 1.5$\gamma = 1.5$)

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