$8 \mathrm{~g}$ of $\mathrm{O}_{2}$ gas at $27^{\circ} \mathrm{C}$ is compressed to half of the volume under…

$8 \mathrm{~g}$ of $\mathrm{O}_{2}$ gas at $27^{\circ} \mathrm{C}$ is compressed to half of the volume under isothermal and reversible conditions. Work done on the system (in cal) is
  1. $\mathrm{W}=0$
  2. $\mathrm{W}=2.303 \times 150 \log 2$
  3. $\mathrm{W}=-2.303 \times 150 \log 2$
  4. $\mathrm{W}=-2.303 \times 300 \times 8 \times 2 \log 2$

Solution

work done $=2.303 \mathrm{nRT} \log \frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}$ $=2.303 \times \frac{1}{4} \times 2 \times 300 \log \frac{1}{2}$ $=-2.303 \times 150 \log 2 \mathrm{cal}$
Thus, (2)

Asked in: JEE-TOPICTESTS-CHEMISTRY

Practice more THERMODYNAMICS questions on Aicharya