Answer:
[tex]U_2 = 2500\ J[/tex]
Step-by-step 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.
[tex]Q -W = U_2 - U_1[/tex]
*[tex]U_2[/tex] = final internal energy of the system
*[tex]U_1[/tex] = initial internal energy of the system
*[tex]W[/tex] = Work done by the system
*[tex]Q[/tex] = Heat added to the system
Then:
[tex]1000J - 500J = U_2 - 2000J[/tex]
[tex]U_2 = 2500\ J[/tex]
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