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MHT CET202310 May 2023Evening ShiftPhysicsThermodynamicsActual

An insulated container contains a monoatomic gas of molar mass ' m '. The container is moving with velocity ' V '. If it is stopped suddenly, the change in temperature of a gas is [R is gas constant]

Options

  1. AMV ^2 R
  2. BMV ^2 2 R
  3. CMV ^2 3 R
  4. D3 MV ^2 2 R

Correct answer

C. MV ^2 3 R

Step-by-step solution

Kinetic energy toss of the gas is E = 1 2 MV ^2, n ...(i) (where n is the no. of moles of the gas) Heat gained by the gás due to temperature change T is Q=n C V T But, C _ V = 3 2 R …(gas is monoatomic) Q= 3 2 R n T ...(ii) Equating (i) and (ii), aligned & E = Q & 1 2 MV ^2 n = 3 2 R n T & T = MV ^2 3 R aligned

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