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(B) According to the first law of thermodynamics, the rate of heat supply is equal to the sum of the rate of change of internal energy and the rate of

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(B) According to the first law of thermodynamics, the rate of heat supply is equal to the sum of the rate of change of internal energy and the rate of work done by the system: $\frac{dQ}{dt} = \frac{dU}{dt} + \frac{dW}{dt}$.Given that the rate of heat supply $\frac{dQ}{dt} = 100 	ext{ W}$ and the rate of work done $\frac{dW}{dt} = 75 	ext{ J/s} = 75 	ext{ W}$.Substituting these values into the equation: $100 	ext{ W} = \frac{dU}{dt} + 75 	ext{ W}$.Therefore, the rate at which internal energy increases is $\frac{dU}{dt} = 100 - 75 = 25 	ext{ W}$.Thus, option $B$ is correct.

An electric heater supplies heat to a system at a rate of $100 \text{ W}$. If the system performs work at a rate of $75 \text{ J/s}$, then the rate at which internal energy increases will be: (in $\text{ W}$)

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