What is the work done by an ideal gas during an isothermal expansion?
Practice Questions
1 question
Q1
What is the work done by an ideal gas during an isothermal expansion?
Zero
nRT ln(Vf/Vi)
nRT (Vf - Vi)
nR (Tf - Ti)
The work done by an ideal gas during an isothermal expansion is given by W = nRT ln(Vf/Vi).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the work done by an ideal gas during an isothermal expansion?
Solution: The work done by an ideal gas during an isothermal expansion is given by W = nRT ln(Vf/Vi).
Steps: 6
Step 1: Understand that an isothermal expansion means the gas expands at a constant temperature.
Step 2: Identify the variables: n is the number of moles of gas, R is the ideal gas constant, T is the temperature in Kelvin, Vf is the final volume, and Vi is the initial volume.
Step 3: Recall the formula for work done by an ideal gas during isothermal expansion: W = nRT ln(Vf/Vi).
Step 4: Plug in the values for n, R, T, Vf, and Vi into the formula.
Step 5: Calculate the natural logarithm of the ratio of final volume to initial volume, ln(Vf/Vi).
Step 6: Multiply n, R, T, and ln(Vf/Vi) together to find the work done, W.
