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When \( 1 \mathrm{~mol} \) of a gas is heated at constant volume, temperature is raised from 298 to \( 308 \mathrm{~K} \). If heat supplied to the gas is \( 500 \mathrm{~J} \), then which statement is correct ?
(a) \( \mathrm{q}=\mathrm{w}=500 \mathrm{~J}, \Delta \mathrm{U}=0 \)
(b) \( \mathrm{q}=\Delta \mathrm{U}=500 \mathrm{~J}, \mathrm{w}=0 \)
(c) \( \mathrm{q}=-\mathrm{w}=500 \mathrm{~J}, \Delta \mathrm{U}=0 \)
(d) \( \Delta \mathrm{U}=0, \mathrm{q}=\mathrm{w}=-500 \mathrm{~J} \)
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