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The pressure of given mass of a gas in a thermodynamic system is changed in such a way that 20 joule of heat is released from the gas and 8 joule of work is done on the gas. If the initial internal energy of the gas was 30 joule then final internal energy will be

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2 Joule

42 Joule

18 Joule

58 Joule

answer is C.

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Detailed Solution

$d Q = - 20 J; d W = - 8 J; U_{i} = 30 J$

$U_{f} - U_{i} = d Q - d W$

$\Rightarrow U_{f} = U_{i} + d Q - d W = 30 - 20 + 8 = 18 J$

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