Q62 / 90 · JEE Main 2017 (09 Apr Online) · Physics

N moles of diatomic gas in a cylinder is at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomic gas. The change in the total kinetic energy of the gas is

  • A
    0
  • B
    52nRT
  • C
    32nRT
  • Correct answer
    D
    12nRT

Solution

Initial kinetic energy of the system,

Ui=N52RT

Final kinetic energy of the system,

Uf=2n32 RT+N-n52RT

⇒Uf=12nRT+52NRT

ΔU=Q=12nRT.

Hence, the correct answer is option: 'D'.

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