What is the work done on a gas when it is compressed from 5 L to 2 L at a consta

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Question: What is the work done on a gas when it is compressed from 5 L to 2 L at a constant pressure of 200 kPa? (2022)

Options:

Correct Answer: 1000 J

Exam Year: 2022

Solution:

Work done (W) = P * ΔV = 200 kPa * (2 L - 5 L) = 200 kPa * (-3 L) = -600 J (work done on the gas).

What is the work done on a gas when it is compressed from 5 L to 2 L at a constant pressure of 200 kPa? (2022)

What is the work done on a gas when it is compressed from 5 L to 2 L at a constant pressure of 200 kPa? (2022)

Step 1: Identify the initial volume of the gas, which is 5 L.
Step 2: Identify the final volume of the gas, which is 2 L.
Step 3: Calculate the change in volume (ΔV) by subtracting the final volume from the initial volume: ΔV = 2 L - 5 L.
Step 4: Calculate ΔV: ΔV = -3 L.
Step 5: Identify the constant pressure (P) at which the gas is compressed, which is 200 kPa.
Step 6: Use the formula for work done (W) on the gas: W = P * ΔV.
Step 7: Substitute the values into the formula: W = 200 kPa * (-3 L).
Step 8: Calculate the work done: W = -600 J.
Step 9: Interpret the result: The negative sign indicates that work is done on the gas.

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