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A gas expands isothermally at 300 K from a volume of 1 m³ to 2 m³. If the pressu

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Question: A gas expands isothermally at 300 K from a volume of 1 m³ to 2 m³. If the pressure of the gas is 100 kPa, what is the work done by the gas during expansion? (2019)

Options:

  1. 20 kJ
  2. 30 kJ
  3. 40 kJ
  4. 50 kJ

Correct Answer: 20 kJ

Exam Year: 2019

Solution: 

Work done (W) = PΔV = 100 kPa * (2 m³ - 1 m³) = 100 kPa * 1 m³ = 100 kJ = 20 kJ.

A gas expands isothermally at 300 K from a volume of 1 m³ to 2 m³. If the pressu

Practice Questions

Q1
A gas expands isothermally at 300 K from a volume of 1 m³ to 2 m³. If the pressure of the gas is 100 kPa, what is the work done by the gas during expansion? (2019)
  1. 20 kJ
  2. 30 kJ
  3. 40 kJ
  4. 50 kJ

Questions & Step-by-Step Solutions

A gas expands isothermally at 300 K from a volume of 1 m³ to 2 m³. If the pressure of the gas is 100 kPa, what is the work done by the gas during expansion? (2019)
  • Step 1: Identify the initial and final volumes of the gas. The initial volume (V1) is 1 m³ and the final volume (V2) is 2 m³.
  • Step 2: Calculate the change in volume (ΔV) by subtracting the initial volume from the final volume: ΔV = V2 - V1 = 2 m³ - 1 m³ = 1 m³.
  • Step 3: Identify the pressure of the gas, which is given as 100 kPa.
  • Step 4: Use the formula for work done (W) during expansion: W = P * ΔV, where P is the pressure and ΔV is the change in volume.
  • Step 5: Substitute the values into the formula: W = 100 kPa * 1 m³.
  • Step 6: Convert the pressure from kPa to kJ by recognizing that 1 kPa·m³ = 1 kJ. Therefore, W = 100 kJ.
  • Step 7: Since the question asks for the work done in kJ, the final answer is 100 kJ.
  • Isothermal Expansion – The process where a gas expands at a constant temperature, leading to specific calculations for work done.
  • Work Done by Gas – The formula for work done during expansion, W = PΔV, where P is pressure and ΔV is the change in volume.
  • Units of Measurement – Understanding the conversion between kPa and kJ, and ensuring consistency in units during calculations.
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