Answer :
The rate of heat flow into the system is 330 W.
According to the first law of thermodynamics, the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
Where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system.
Rearranging this equation, we can find the rate of heat flow into the system:
Q = ΔU + W
The given values are:
ΔU = 45.0 W
W = 285 W
So, the rate of heat flow into the system is:
Q = ΔU + W = 45.0 W + 285 W = 330 W
Therefore, the rate of heat flow into the system is 330 W. This means that the system is receiving heat at a rate of 330 W while it is also doing work at a rate of 285 W, resulting in an increase in its internal energy at a rate of 45.0 W.
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