An electric heater supplies heat to a systematic at rate of 100w. If Systems performs work at rate of 75 joules per second. At what rate is the internal energy increasing ?
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Heat is supplied to the system at a rate of 100 W.
∴Heat supplied, Q = 100 J/s
The system performs at a rate of 75 J/s.
∴Work done, W = 75 J/s
From the first law of thermodynamics, we have:
Q = U + W
Where,
U = Internal energy
∴U = Q – W
= 100 – 75
= 25 J/s
= 25 W
Therefore, the internal energy of the given electric heater increases at a rate of 25 W.
varuncharaya13:
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☞Heat supplied (Q)= 100J per sec
☞Rate of performance of system = 75 J/sec
☞Work done (W)= 75 J/sec
☞According to first law of thermodynamics....
☞Q =U + W
☞U = Q - W
☞= 100 -75
☞=25 W
✔25 W is the answer✔
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