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What is the work done by a gas during an isothermal expansion from volume Vi to

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Question: What is the work done by a gas during an isothermal expansion from volume Vi to Vf?

Options:

  1. nRT ln(Vf/Vi)
  2. nR(Tf - Ti)
  3. Zero
  4. nRT

Correct Answer: nRT ln(Vf/Vi)

Solution: 

The work done by a gas during an isothermal expansion is W = nRT ln(Vf/Vi).

What is the work done by a gas during an isothermal expansion from volume Vi to

Practice Questions

Q1
What is the work done by a gas during an isothermal expansion from volume Vi to Vf?
  1. nRT ln(Vf/Vi)
  2. nR(Tf - Ti)
  3. Zero
  4. nRT

Questions & Step-by-Step Solutions

What is the work done by a gas during an isothermal expansion from volume Vi to Vf?
  • Step 1: Understand that isothermal means the temperature remains constant during the process.
  • Step 2: Identify the initial volume (Vi) and final volume (Vf) of the gas.
  • Step 3: Recognize that 'n' is the number of moles of gas and 'R' is the ideal gas constant.
  • Step 4: Use the formula for work done by the gas during isothermal expansion: W = nRT ln(Vf/Vi).
  • Step 5: Plug in the values of n, R, T, Vf, and Vi into the formula to calculate the work done.
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