The w (work) for an automobile engine that generates 2268J of heat that must be carried away by the cooling system with the internal energy changes by -2789J in this process is 521 Joules.
Work, in physics, is the energy transferred to or from an object via the application of force along a displacement. In its simplest form, for a constant force aligned with the direction of motion, the work equals the product of the force strength and the distance traveled.
The heat evolved by the system (q) = - 2268J
The change in internal energy, dU = -2789J
From the first law of thermodynamics q = dU + W
So work done by the engine will be calculated as follows
W = q - dU
= -2268J - (-2789)J
= +521J
Therefore the work for engine, which represents the work available to push the pistons in this process, is 521J.
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