What is the work done by an ideal gas during an isothermal expansion from volume

Practice Questions

Q1
What is the work done by an ideal gas during an isothermal expansion from volume V1 to V2 at temperature T? (2021)
  1. nRT ln(V2/V1)
  2. nRT (V2 - V1)
  3. PV
  4. 0

Questions & Step-by-Step Solutions

What is the work done by an ideal gas during an isothermal expansion from volume V1 to V2 at temperature T? (2021)
  • Step 1: Understand that an isothermal expansion means the gas expands at a constant temperature (T).
  • Step 2: Recognize that during this process, the gas does work on its surroundings as it expands from an initial volume (V1) to a final volume (V2).
  • Step 3: Recall the formula for work done (W) by an ideal gas during isothermal expansion, which is W = nRT ln(V2/V1).
  • Step 4: Identify the variables in the formula: n is the number of moles of gas, R is the ideal gas constant, T is the temperature in Kelvin, V2 is the final volume, and V1 is the initial volume.
  • Step 5: Plug in the values for n, R, T, V2, and V1 into the formula to calculate the work done.
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