A system does 506 kj of work, and loses 266 kj of heat to the surroundings. what is the change in internal energy of the system?

The change in internal energy of the system is

work output= - 266 kj

work input= 506 kj

Change in internal energy is= work input - work output

= -266 - 506

= -772

Hence the change in internal energy is -772 kj

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The internal energy decreases by an amount of 722 kj

Explanation:

In thermodinamics we have that:

dU = dQ - dW

U is the internal energy, Q is the heat and W is the work that the system does.

this means that the change in the internal energy is equal to the change in the heat minus the change in the work.

Here we know that the system does 506kj of work and loses 266kj of heat (this means that dQ = -266kj, because the system loses heat), then we have that the total change in energy would be:

dU = -266kj - 506kj = -722kj

The internal energy decreases by an amount of 722 kj

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