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A gas expands from volume V1 to V2 at constant pressure P. What is the work done

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Question: A gas expands from volume V1 to V2 at constant pressure P. What is the work done by the gas? (2022)

Options:

  1. P(V2 - V1)
  2. P(V1 + V2)
  3. P(V1 * V2)
  4. P(V1 - V2)

Correct Answer: P(V2 - V1)

Exam Year: 2022

Solution:

Work done (W) = P * ΔV = P * (V2 - V1).

A gas expands from volume V1 to V2 at constant pressure P. What is the work done

Practice Questions

Q1
A gas expands from volume V1 to V2 at constant pressure P. What is the work done by the gas? (2022)
  1. P(V2 - V1)
  2. P(V1 + V2)
  3. P(V1 * V2)
  4. P(V1 - V2)

Questions & Step-by-Step Solutions

A gas expands from volume V1 to V2 at constant pressure P. What is the work done by the gas? (2022)
  • Step 1: Identify the initial volume of the gas, which is V1.
  • Step 2: Identify the final volume of the gas, which is V2.
  • Step 3: Calculate the change in volume (ΔV) by subtracting the initial volume from the final volume: ΔV = V2 - V1.
  • Step 4: Identify the constant pressure at which the gas expands, which is P.
  • Step 5: Use the formula for work done by the gas: W = P * ΔV.
  • Step 6: Substitute ΔV from Step 3 into the formula: W = P * (V2 - V1).
  • Work Done by a Gas – The work done by a gas during expansion or compression at constant pressure is calculated using the formula W = P * ΔV, where ΔV is the change in volume.
  • Constant Pressure Process – In a constant pressure process, the pressure remains unchanged while the volume changes, which simplifies the calculation of work done.
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