Calculate the work done by the gas at a pressure of 500 kPa if the gas volume has changed by 0.2 m3.
April 10, 2021 | education
| p = 500 kPa = 500,000 Pa.
ΔV = 0.2 m3.
A – ?
Mechanical work A is expressed by the product of force F and displacement L: A = F * L.
We express the force F through the gas pressure p by the formula: F = p * S, where the area on which the force S acts.
The formula for determining the work of gas A will take the form: A = p * S * L.
Since the gas expands at a constant pressure p, the change in the gas volume is expressed by the formula: ΔV = S * L.
If the gas expands, then the gas does work; if the gas is compressed, then external forces do work on the gas.
A = p * ΔV.
A = 500,000 Pa * 0.2 m3 = 100,000 J.
Answer: the gas did the work A = 100,000 J.
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