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JEE Advanced · Physics · 14. KTG

Statement I The total translational kinetic energy of all the molecules of a given mass of an ideal gas is \(1.5\) times the product of its pressure and its volume.
Statement II The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

  1. A Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I
  2. B Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I
  3. C Statement I is true, Statement II is false
  4. D Statement I is false, Statement II is true
Verified Solution

Answer & Solution

Correct Answer

(B) Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I

Step-by-step Solution

Detailed explanation

Total translational kinetic energy \(=\frac{3}{2} n R T=\frac{3}{2} P V=1.5 P \mathrm{~V}\)
\(\therefore\) Correct option is (b).
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