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11.Thermodynamics
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When a system is taken from thermodynamic state $i$ to $f$ along the path $iaf$ (see figure), it is found that the heat $Q$ absorbed by the system is $50\ cal$ and work $W$ done by the system is equal to $20\ cal$ . Along the path ibf $Q = 36\ cal$ . What is $W$ along the path ibf? ........... $\mathrm{cal}$

A
$6$
B
$18$
C
$40$
D
$-43$
Solution
Along path iaf,
$\mathrm{dQ}=\mathrm{dU}+\mathrm{dW}$
$50=d U+20$
$\mathrm{d} \mathrm{U}=30 \mathrm{\,cal}$
Along path ibf,
$\mathrm{dQ}=\mathrm{dU}+\mathrm{dW}$
$36=30+d W $
$d W=6 \text { cal }$
Standard 11
Physics
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