High School

A gas contained in a cylinder is compressed, with the work required for compression being 5000 kJ. During the process, the heat interaction is 2000 kJ. Find the internal energy change.

a) 3000 kJ
b) 7000 kJ
c) -3000 kJ
d) -7000 kJ

Answer :

- The internal energy change for the gas during compression, given the work done is 5000 kJ and heat interaction is 2000 kJ, is -3000 kJ. Option c is correct answer.

1. Given:

- Work done during compression (W) = 5000 kJ

- Heat interaction (Q) = 2000 kJ

2. The First Law of Thermodynamics states: ΔU = Q - W, where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system.

3. Calculate the internal energy change:

- ΔU = Q - W

- ΔU = 2000 kJ - 5000 kJ

- ΔU = -3000 kJ

The internal energy change for the gas during compression is -3000 kJ. Option c is correct answer.