A gas taken through cyclic process ABCA is shown in figure. If 2.4,cal. of heat is given in process,

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11.Thermodynamics

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A gas taken through cyclic process $ABCA$ is shown in figure. If $2.4\,cal.$ of heat is given in the process, what is value of $J$ ...... $J/cal$ (mechanical equivalent of heat)?

A

$4.17$

B

$4.4$

C

$4.1$

D

None of these

Solution

for cyclic process

$\mathrm{dQ}=\mathrm{d} \mathrm{W}$

$\Rightarrow \mathrm{d} \mathrm{Q}=\frac{1}{2} \times 200 \times 100 \times 10^{-6} \times 10^{3} \mathrm{J}=10 \mathrm{Joule}$

also $dQ$ $=2.4 \mathrm{cal}$

$\Rightarrow \mathrm{J}=\frac{10}{2.4}=4.17 \mathrm{J} / \mathrm{cal}$

Standard 11

Physics

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