In a reversible isothermal expansion of an ideal gas, what is the work done by t

Practice Questions

Q1
In a reversible isothermal expansion of an ideal gas, what is the work done by the gas?
  1. W = nRT ln(Vf/Vi)
  2. W = nRT (Vf - Vi)
  3. W = -PΔV
  4. W = 0

Questions & Step-by-Step Solutions

In a reversible isothermal expansion of an ideal gas, what is the work done by the gas?
  • Step 1: Understand that we are dealing with an ideal gas undergoing a reversible isothermal expansion. This means the temperature remains constant during the process.
  • Step 2: Identify the variables involved: n (number of moles of gas), R (universal gas constant), T (temperature in Kelvin), Vf (final volume), and Vi (initial volume).
  • Step 3: Recall the formula for work done by the gas during this process, which is W = nRT ln(Vf/Vi).
  • Step 4: Recognize that 'ln' refers to the natural logarithm, which is a mathematical function.
  • Step 5: To calculate the work done, you need to know the values of n, R, T, Vf, and Vi.
  • Step 6: Plug the values into the formula to find the work done by the gas.
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