What is the work done on a gas when it is compressed isothermally from 4 L to 2

What is the work done on a gas when it is compressed isothermally from 4 L to 2 L at a pressure of 1 atm? (2021)

What is the work done on a gas when it is compressed isothermally from 4 L to 2 L at a pressure of 1 atm? (2021)

Step 1: Understand the problem. We need to find the work done on a gas when it is compressed from 4 liters to 2 liters at a pressure of 1 atmosphere.
Step 2: Identify the formula for work done on a gas. The formula is W = PΔV, where W is work, P is pressure, and ΔV is the change in volume.
Step 3: Calculate the change in volume (ΔV). The initial volume is 4 L and the final volume is 2 L. So, ΔV = final volume - initial volume = 2 L - 4 L = -2 L.
Step 4: Substitute the values into the formula. We have P = 1 atm and ΔV = -2 L. So, W = 1 atm * (-2 L).
Step 5: Calculate the work done. W = 1 atm * (-2 L) = -2 L·atm. The negative sign indicates that work is done on the gas.

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