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Q. $200$ joules of heat was supplied to a system at constant volume. It resulted in the increase in temperature of the system from $298$ to $323\, K$. What is the change in internal energy of the system?

Thermodynamics

Solution:

At constant volume, $\Delta V = 0$
$w = -P\Delta V = 0 \quad \Delta H = q = 200\, J$