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Question: Answered & Verified by Expert
If ' $\mathrm{E}$ ' is the kinetic energy per mole of an ideal gas and ' $\mathrm{T}$ ' is the absolute temperature, then the universal gas constant is given as
PhysicsKinetic Theory of GasesMHT CETMHT CET 2021 (21 Sep Shift 2)
Options:
  • A $\frac{2 \mathrm{~T}}{3 \mathrm{E}}$
  • B $\frac{2 E}{3 T}$
  • C $\frac{3 \mathrm{~T}}{2 \mathrm{E}}$
  • D $\frac{3 \mathrm{E}}{2 \mathrm{~T}}$
Solution:
2185 Upvotes Verified Answer
The correct answer is: $\frac{2 E}{3 T}$
The kinetic energy per mole $E=\frac{3}{2} R T$
$$
\therefore \mathrm{R}=\frac{2 \mathrm{E}}{3 \mathrm{~T}}
$$

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