What is the change in internal energy of a system if 300 J of heat is added and

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Question: What is the change in internal energy of a system if 300 J of heat is added and 100 J of work is done by the system? (2021)

Options:

Correct Answer: 200 J

Exam Year: 2021

Solution:

Using the first law of thermodynamics: ΔU = Q - W = 300 J - 100 J = 200 J.

What is the change in internal energy of a system if 300 J of heat is added and 100 J of work is done by the system? (2021)

What is the change in internal energy of a system if 300 J of heat is added and 100 J of work is done by the system? (2021)

Step 1: Understand the first law of thermodynamics, which states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (Q) minus the work done by the system (W).
Step 2: Identify the values given in the question: Q = 300 J (heat added) and W = 100 J (work done by the system).
Step 3: Substitute the values into the formula: ΔU = Q - W.
Step 4: Calculate the change in internal energy: ΔU = 300 J - 100 J.
Step 5: Perform the subtraction: 300 J - 100 J = 200 J.
Step 6: Conclude that the change in internal energy of the system is 200 J.

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