A system is given $300$ calories of heat and it does $600$ joules of work. How much does the internal energy of the system change in this process ..... $J$. ($J = 4.18$ joules/cal)
A$654$
B$156.5$
C$-300$
D$-528.2$
Medium
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A$654$
a (a) $J\Delta Q = \Delta U + \Delta W,\;\;\Delta U = J\Delta Q - \Delta W$
$\Delta U = 4.18 \times 300 - 600 = 654\;Joule$
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$0.02\, moles$ of an ideal diatomic gas with initial temperature $20^{\circ} C$ is compressed from $1500 \,cm ^{3}$ to $500 \,cm ^{3}$. The thermodynamic process is such that $p V^{2}=\beta$, where $\beta$ is a constant. Then, the value of $\beta$ is close to (the gas constant, $R=8.31 \,J / K / mol$ ).
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$Reason :$ When a system changes from one thermal equilibrium to another, some heat is absorbed by it.
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