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# An electric heater supplies heat to a system at a rate of 100W. If system performs work at a rate of 75 joules per second. At what rate is the internal energy increasing?

Q12.8 An electric heater supplies heat to a system at a rate of 100W. If system performs work at a rate of 75 joules per second. At what rate is the internal energy increasing?

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Rate at which heat is supplied $\Delta Q=100\ W$

Rate at which work is done $\Delta W=75\ J s^{-1}$

Rate of change of internal energy is $\\\Delta u$

$\\\Delta u=\Delta Q-\Delta w\\ \Delta u=100-75\\ \Delta u=25\ J\ s^{-1}$

The internal energy of the system is increasing at a rate of 25 J s-1

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