The work done by an ideal gas during an isothermal expansion is given by which f

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Question: The work done by an ideal gas during an isothermal expansion is given by which formula? (2023)

Options:

Correct Answer: W = nRT ln(Vf/Vi)

Exam Year: 2023

Solution:

The work done by an ideal gas during an isothermal expansion is given by W = nRT ln(Vf/Vi), where Vf and Vi are the final and initial volumes.

The work done by an ideal gas during an isothermal expansion is given by which formula? (2023)

The work done by an ideal gas during an isothermal expansion is given by which formula? (2023)

Step 1: Understand that an isothermal expansion means the temperature of the gas remains constant.
Step 2: Know that 'W' represents the work done by the gas.
Step 3: Identify 'n' as the number of moles of the gas.
Step 4: Recognize 'R' as the ideal gas constant, which is a specific value.
Step 5: Understand that 'T' is the absolute temperature of the gas in Kelvin.
Step 6: Identify 'Vi' as the initial volume of the gas and 'Vf' as the final volume after expansion.
Step 7: Combine all these elements into the formula: W = nRT ln(Vf/Vi).

Isothermal Process – An isothermal process is a thermodynamic process in which the temperature remains constant while the gas expands or contracts.
Work Done by Gas – The work done by a gas during expansion or compression can be calculated using specific formulas depending on the type of process.
Ideal Gas Law – The behavior of an ideal gas is described by the ideal gas law, which relates pressure, volume, temperature, and the number of moles.