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When \( 1 \mathrm{~mol} \) of a gas is heated at constant
\( \mathrm{P} \) volume, temperature is raised from 298 to 308

W \( \mathrm{K} \). Heat supplied to the gas is \( 500 \mathrm{~J} \). Then which statement is correct?
(1) \( q=W=500 \mathrm{~J}, \Delta \mathrm{U}=0 \)
(2) \( q=\Delta \mathrm{U}=500 \mathrm{~J}, \mathrm{~W}=0 \)
(3) \( q=\mathrm{W}=500 \mathrm{~J}, \Delta \mathrm{U}=\mathrm{W}=0 \)
(4) \( \Delta \mathrm{U}=0, q=\mathrm{W}=-500 \mathrm{~J} \)
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