Q. $1\ cm^{3}$ of water at its boiling point absorbs 540 cal of heat of become steam with a volume of $1671cm^{3}.$ If the atmospheric pressure=$1.013 \times 10^{5}\ Nm^{- 2}$and the mechanical equivalent of heat =$419\ J\ cal^{- 1},$ the energy spent in this process in overcoming intermolecular forces is

A) 540 cal
B) 40 cal
C) 500 cal
D) zero
Explanation

(c) According to first law of thermodynamics, $\mathrm{\Delta}Q = \mathrm{\Delta}U + \mathrm{\Delta}W$
$\therefore\ \mathrm{\Delta}U = \mathrm{\Delta}Q - \mathrm{\Delta}W$
$= 540 - \frac{p\left( V_{2} - V_{1} \right)}{J}$
$= 540 - \frac{1.013 \times 10^{5} \times \left\lbrack (1671 - 1) \times 10^{- 6} \right\rbrack}{4.2}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 540 - 40 = 500\ cal$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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

Want more practice?
Practice Thermodynamics MCQs