A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W, then the rate at which the internal energy of the system increases is [2023]

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Solution

Q.
A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W, then the rate at which the internal energy of the system increases is [2023]

1 800 W

2 1200 W

3 600 W

4 500 W

Ans.
(1)

$d Q = d U + d W$

$\frac{d U}{d t} = \frac{d Q}{d t} - \frac{d W}{d t}$

$\frac{d U}{d t} = 1000 - 200 = 800 W$

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