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

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Increased by 400 J

Increased by 200 J

Increased by 100 J

Decreased by 200 J

answer is A.

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Detailed Solution

$∆ Q = ∆ U + ∆ W \Rightarrow ∆ Q = ∆ U + ∆ d V \Rightarrow 100 = ∆ U + 50 (4 - 10) \Rightarrow 100 = ∆ U - 300 ∴ ∆ U = 400 J$

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