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An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cross sectional area 4×10−3m2. Initially the gas is at 27∘C and volume of gas is 1.2×10−3m3, system is in equilibrium and spring is in natural state. The sample is heated by a heater until piston moves out slowly by 5 cm. Calculate final temperature of the gas and heat supplied by heater. Take k (spring constant) = 8000 N/m, mass of piston = 20 kg (Assume there is no loss of heat through coils and walls, take Patm=105Pa )Final temperature of the gas (in K): Heat supplied by heater (in J):

Answer» An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cross sectional area 4×103m2. Initially the gas is at 27C and volume of gas is 1.2×103m3, system is in equilibrium and spring is in natural state. The sample is heated by a heater until piston moves out slowly by 5 cm. Calculate final temperature of the gas and heat supplied by heater. Take k (spring constant) = 8000 N/m, mass of piston = 20 kg (Assume there is no loss of heat through coils and walls, take Patm=105Pa )



Final temperature of the gas (in K):

Heat supplied by heater (in J):


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