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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? (2020)

Options:

  1. 0 kJ
  2. 10 kJ
  3. 20 kJ
  4. 30 kJ

Correct Answer: 10 kJ

Exam Year: 2020

Solution: 

Work done (W) = P * ΔV = 100 kPa * (2 m³ - 1 m³) = 100 kPa * 1 m³ = 100 kJ = 10 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? (2020)
  1. 0 kJ
  2. 10 kJ
  3. 20 kJ
  4. 30 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? (2020)
  • 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.
  • Step 3: Substitute the values to find ΔV: ΔV = 1 m³.
  • Step 4: Identify the pressure of the gas, which is given as 100 kPa.
  • Step 5: Use the formula for work done (W) during isothermal expansion: W = P * ΔV.
  • Step 6: Substitute the values into the formula: W = 100 kPa * 1 m³.
  • Step 7: Convert the pressure from kPa to kJ by recognizing that 1 kPa·m³ = 1 kJ. Therefore, W = 100 kJ.
  • Step 8: 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, affecting the work done.
  • Work Done by Gas – The calculation of work done during expansion, typically using the formula W = P * ΔV.
  • Units of Measurement – Understanding the conversion between kPa and kJ, and ensuring correct unit usage in calculations.
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