Question

in a heat engine if 1000 j of heat enters the system and the piston does 500j of work, what is the final internal energy of the system if the inital energy was 2000 j 1.write the equation 2.list out your known variables 3. plug the numbers into the equations 4.solve 5.write your solution statement that includes initial energy and final energy added.

Answer 1

`U_2 = 2500\ J`

Explanation:

To solve this problem, we must use the first law of thermodynamics that says that the net heat absorbed by a system is equal to the sum of the work done plus the change of internal energy.

`Q -W = U_2 - U_1`

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`U_2` = final internal energy of the system

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`U_1` = initial internal energy of the system

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`W` = Work done by the system

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`Q` = Heat added to the system

Then:

`1000J - 500J = U_2 - 2000J`

`U_2 = 2500\ J`

The final internal energy of the system is 2500 J. This means that by adding 1000j of heat to the system the internal energy increased by 500J