An automobile engine provides 519 Joules of work to push the pistons. In this process the internal energy changes by –2745 Joules.
Calculate q for the engine. This represents the amount of heat that must be carried away by the cooling system.
Heat =_______ J
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To calculate the heat q, we use the first law of thermodynamics:
ΔU = q + w
where ΔU is the change in internal energy, q is the heat, and w is the work done on the system.
Given that the internal energy change is -2745 J and the work done is 519 J, we can rearrange the equation to solve for q:
q = ΔU - w
q = (-2745 J) - (519 J)
q = -3264 J
Therefore, the amount of heat that must be carried away by the cooling system is -3264 J. Note that the negative sign indicates that heat is released by the engine.
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