What is the work done by a gas that expands isothermally from volume V1 to V2 at

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Question: What is the work done by a gas that expands isothermally from volume V1 to V2 at temperature T?

Options:

Correct Answer: nRT ln(V2/V1)

Solution:

For isothermal expansion, the work done is given by W = nRT ln(V2/V1).

What is the work done by a gas that expands isothermally from volume V1 to V2 at temperature T?

What is the work done by a gas that expands isothermally from volume V1 to V2 at temperature T?

Step 1: Understand that isothermal means the temperature (T) remains constant during the expansion.
Step 2: Identify the initial volume (V1) and the final volume (V2) of the gas.
Step 3: Recognize that 'n' represents the number of moles of gas and 'R' is the ideal gas constant.
Step 4: Use the formula for work done during isothermal expansion, which is W = nRT ln(V2/V1).
Step 5: Plug in the values of n, R, T, V2, and V1 into the formula to calculate the work done (W).

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