Calorimetry | Thermodynamics | Mixed Concept | Tough Question | JEE Advanced Physics

A block of ice mass 10 gm is in thermal equilibrium with a water bath containing 10 gm of water which is kept on a conducting movable massless piston on a cylinder containing 3 moles of an ideal diatomic gas in thermal equilibrium with water. The walls of cylinder are adiabatic and heat lost to surroundings is negligible. The gas is heated slowly by a heater. (Latent heat =80cal/gm, specific heat of water =1cal/gm,R=25/3 J/molK, mechanical equivalent of heat =4.2 J/cal ).
(A) Work done by the gas till ice melts is zero
(B) Change in internal energy of the gas till the water starts boiling is 6250 J
(C) Work done by the gas till water starts boiling is 2500 J
(D) Net heat supplied by heater till the water starts boiling is 20510 J
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