Q. If $R =$ universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas from $273K$ and $373K$ when no work is done
A) $100\ R$
B) $150\ R$
C) $300\ R$
D) $500\ R$
Explanation
(c) $\mathrm{\Delta}C = \mathrm{\Delta}U + \mathrm{\Delta}W\ \because\ \mathrm{\Delta}W = 0 \Rightarrow \mathrm{\Delta}Q = \mathrm{\Delta}U = \frac{f}{2}\mu R\mathrm{\Delta}T$
$= \frac{3}{2} \times 2R(373 - 273) = 300R$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.