Calculate the work done by the gas at a pressure of 500 kPa if the gas volume has changed by 0.2 m3.

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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