Answer:
2500 J
Step-by-step explanation:
Let's solve the problem using the first law of thermodynamics, which states that
![U_f - U_i = Q-W](https://img.qammunity.org/2020/formulas/physics/middle-school/gpt4r74vd427zyufak9r2asw2lx4nxjlve.png)
where
Uf is the final internal energy
Ui is the initial internal energy
Q is the heat absorbed by the system
W is the work done by the system
In this problem, we have:
Ui = 2000 J is the initial internal energy
Q = 1000 J is the heat absorbed by the system
W = 500 J is the work done by the piston
If we substitute numbers into the equation, we find:
![U_f =U_i + Q-W=2000 J+1000 J-500 J=2500 J](https://img.qammunity.org/2020/formulas/physics/middle-school/wibygfab7buh8ywrnecebeqrt4f80ty248.png)