What is the work done by an ideal gas during an isobaric expansion if it expands

Practice Questions

Q1
What is the work done by an ideal gas during an isobaric expansion if it expands from 2 L to 5 L at a pressure of 3 atm? (2022)
  1. 9 J
  2. 12 J
  3. 15 J
  4. 18 J

Questions & Step-by-Step Solutions

What is the work done by an ideal gas during an isobaric expansion if it expands from 2 L to 5 L at a pressure of 3 atm? (2022)
  • Step 1: Identify the initial volume (V1) and the final volume (V2) of the gas. Here, V1 = 2 L and V2 = 5 L.
  • Step 2: Calculate the change in volume (ΔV) by subtracting the initial volume from the final volume: ΔV = V2 - V1 = 5 L - 2 L.
  • Step 3: Calculate ΔV: ΔV = 3 L.
  • Step 4: Identify the pressure (P) at which the gas is expanding. Here, P = 3 atm.
  • Step 5: Use the formula for work done (W) during isobaric expansion: W = P * ΔV.
  • Step 6: Substitute the values into the formula: W = 3 atm * 3 L.
  • Step 7: Calculate the work done: W = 9 atm·L.
  • Step 8: Convert the work done from atm·L to Joules using the conversion factor (1 atm·L = 101.325 J): W = 9 atm·L * 101.325 J/atm·L.
  • Step 9: Calculate the final work done in Joules: W = 9 * 101.325 = 911.925 J.
  • Step 10: Round the answer if necessary, but here we keep it as 911.925 J.
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