What is the change in internal energy of a system if 500 J of work is done on it

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Question: What is the change in internal energy of a system if 500 J of work is done on it and 200 J of heat is lost? (2023)

Options:

Correct Answer: 300 J

Exam Year: 2023

Solution:

Change in internal energy (ΔU) = Q - W = -200 J - 500 J = -300 J.

What is the change in internal energy of a system if 500 J of work is done on it and 200 J of heat is lost? (2023)

What is the change in internal energy of a system if 500 J of work is done on it and 200 J of heat is lost? (2023)

Step 1: Identify the work done on the system. In this case, 500 J of work is done on the system, which is considered positive.
Step 2: Identify the heat lost by the system. The system loses 200 J of heat, which is considered negative.
Step 3: Use the formula for change in internal energy: ΔU = Q - W.
Step 4: Substitute the values into the formula. Here, Q (heat) is -200 J (since heat is lost) and W (work done on the system) is +500 J.
Step 5: Calculate ΔU: ΔU = -200 J - 500 J.
Step 6: Perform the calculation: ΔU = -700 J.

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