Q. A cylinder fitted with a piston contains $0.2\ moles$ of air at temperature $27℃$. The piston is pushed so slowly that the air within the cylinder remains in thermal equilibrium with the surroundings. Find the approximate work done by the system if the final volume is twice the initial volume
A) $543\ J$
B) $345\ J$
C) $453\ J$
D) $600\ J$
Explanation
(b) $W = \mu RT\log_{e}{\left( \frac{V_{2}}{V_{1}} \right) = 0.2 \times 8.3 \times \log_{e}{2 \times (27 + 273)}}$
$= 0.2 \times 8.3 \times 300 \times 0.693 = 345J$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.