Answer:
-100 kJ
Explanation:
We can solve this problem by applying the first law of thermodynamics, which states that:
![\Delta U = Q-W](https://tex.z-dn.net/?f=%5CDelta%20U%20%3D%20Q-W)
where:
is the change in internal energy of a system
Q is the heat absorbed/released by the system (it is positive if absorbed by the system, negative if released by the system)
W is the work done by the system (it is positive if done by the system, negative if done on the system)
For the system in this problem we have:
W = +147 kJ is the work done by the system
Q = +47 kJ is the heat absorbed by the system
So , its change in internal energy is:
![\Delta U = +47 - (+147) =-100 kJ](https://tex.z-dn.net/?f=%5CDelta%20U%20%3D%20%2B47%20-%20%28%2B147%29%20%3D-100%20kJ)