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11.Thermodynamics
normal
$P-V$ diagram of an ideal gas is as shown. Find work done by the gas in $ABCD$ process
A
$4\,{P_0}{V_0}$
B
$2\,{P_0}{V_0}$
C
$3\,{P_0}{V_0}$
D
${P_0}{V_0}$
Solution
$\mathrm{W}_{\mathrm{AB}}=-\mathrm{P}_{0}\left(2 \mathrm{V}_{0}-\mathrm{V}_{0}\right)$
$=-P_{0} V_{0}$
$\mathrm{W}_{\mathrm{BC}}=0$
$\mathrm{W}_{\mathrm{CD}}=+2 \mathrm{P}_{0}\left(3 \mathrm{V}_{0}-\mathrm{V}_{0}\right)$
$=4 \mathrm{P}_{0} \mathrm{V}_{0}$
$\mathrm{W}_{\mathrm{net}} \Rightarrow \mathrm{W}_{\mathrm{AB}}+\mathrm{W}_{\mathrm{BC}}+\mathrm{W}_{\mathrm{CD}}=3 \mathrm{P}_{0} \mathrm{V}_{0}$
Standard 11
Physics
