JEE Main 2017PhysicsKinetic Theory of GasesMediumMCQ

JEE Main 2017 — Kinetic Theory of Gases Question with Solution

JEE Main 2017 (09 Apr Online)

Question

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

Choose an option

Show full solutionCorrect option: D
Correct answer
D12nRT

Step-by-step explanation

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.

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About this question

This is a previous-year question from JEE Main 2017, covering the Kinetic Theory of Gases chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.