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JEE Main201911 Jan 2019Evening ShiftPhysicsThermodynamicsActual

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K , where K is a constant. In this process the temperature of the gas is increased by T . The amount of heat absorbed by gas is (R is gas constant):

Options

  1. A1 2 R T
  2. B1 2 KR T
  3. C3 2 R T
  4. D2 ~K 3 T

Correct answer

A. 1 2 R T

Step-by-step solution

According to question VT = K we also know that P V=n R T T = ( PV nR ) V ( PV nR )= k PV ²= K C = R 1- x + C _ v (For polytropic process) C = R 1-2 + 3 R 2 = R 2 Q = nC T = R 2 T [here, . n =1 ~mole ]

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