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AP EAMCET · PHYSICS · Kinetic Theory of Gases

A light container having a diatomic gas enclosed within is moving with velocity \(v\). Mass of the gas is \(M\) and number of moles is \(n\). The kinetic energy of gas w.r.t. ground is

  1. A \(\frac{1}{2} M^2+\frac{3}{2} n R T\)
  2. B \(\frac{1}{2} M v^2\)
  3. C \(\frac{1}{2} M^2+\frac{5}{2} n R T\)
  4. D \(\frac{5}{2} n R T\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{2} M^2+\frac{5}{2} n R T\)

Step-by-step Solution

Detailed explanation

According to kinetic theory of gases, Energy of diatomic gas having \(f\) number of degree of freedom is given as, \[ B_1=n \frac{f}{2} R T \quad \text { [For nmole gas] } \] Since, degree of freedom of a diatomic gas, \[ f=5 \] \(\therefore\) Kinetic energy of diatomic gas with…