What is the work done on a gas when it is compressed from 4 L to 2 L at a consta

Practice Questions

Q1
What is the work done on a gas when it is compressed from 4 L to 2 L at a constant pressure of 2 atm?
  1. 4 L·atm
  2. 2 L·atm
  3. 8 L·atm
  4. 0 L·atm

Questions & Step-by-Step Solutions

What is the work done on a gas when it is compressed from 4 L to 2 L at a constant pressure of 2 atm?
  • Step 1: Identify the initial volume of the gas, which is 4 L.
  • Step 2: Identify the final volume of the gas, which is 2 L.
  • Step 3: Calculate the change in volume (ΔV) by subtracting the final volume from the initial volume: ΔV = 2 L - 4 L.
  • Step 4: This gives us ΔV = -2 L.
  • Step 5: Identify the constant pressure (P) at which the gas is compressed, which is 2 atm.
  • Step 6: Use the formula for work done (W) on the gas: W = P * ΔV.
  • Step 7: Substitute the values into the formula: W = 2 atm * (-2 L).
  • Step 8: Calculate the work done: W = -4 L·atm.
  • Step 9: Since the work is done on the gas, we consider it as positive work done on the gas.
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