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)
20 kJ
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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.
