A gas is compressed at a constant pressure of $50N/{m^2}$ from a volume of $10{m^3}$ to a volume of $4{m^3}$. Energy of $100 J$ then added to the gas by heating. Its internal energy is
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(a) From FLOT

$\Delta Q = \Delta U + \Delta W$$ = \Delta U + P\Delta V$
$ \Rightarrow \;100 = \Delta U + 50 \times (4 - 10) \Rightarrow \Delta U = 400\;J$

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