Q. If universal gas constant is $R$, the essential heat to increase from 273 K to 473 K at constant volume for ideal gas of 4 mol is

A) 200 $R$
B) 400 $R$
C) 800 $R$
D) 1200 $R$
Explanation

(d) Specific heat for a monoatomic gas
$C_{V} = \frac{3}{2}R$
$\therefore\ \ \ Heat\ \ \ \ d\mathcal{Q =}\mu C_{V}\mathrm{\Delta}T$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ d\mathcal{Q\ =}\mu \times \frac{3}{2} \times R(473 - 273)$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times \frac{3}{2} \times R \times 200\ \ \ \ (\because\mu = 4)$
$\therefore$ $d\mathcal{Q} = 4 \times 300R$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 1200R$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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