- Home
- Standard 11
- Physics
11.Thermodynamics
normal
One mole of an ideal gas having initial volume $V$ , pressure $2P$ and temperature $T$ undergoes a cyclic process $ABCDA$ as shown below The net work done in the complete cycle is
A
Zero
B
$\frac {1}{2}RT\,ln\,2$
C
$RT\,ln\,2$
D
$\frac {3}{2}RT\,ln\,2$
Solution
$W=W_{\mathrm{AB}}+W_{\mathrm{BC}}+W_{\mathrm{CD}}+W_{\mathrm{DA}}$
$=\mathrm{R}(2 \mathrm{T}-\mathrm{T})+\mathrm{R} .2 \mathrm{T} \log \frac{2 \mathrm{P}}{\mathrm{P}}+\mathrm{R}(\mathrm{T}-2 \mathrm{T})+\mathrm{R} \cdot \operatorname{T} \log \frac{\mathrm{P}}{2 \mathrm{P}}$
$=2 \mathrm{RT} \log 2-\mathrm{RT} \log 2=\mathrm{RT} \log 2$
Standard 11
Physics
