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

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)

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.