The sign of work done in compressing the gas is negative.
The work done compressing a given volume of gas is given as;
W = PΔV
where;
- P is the constant pressure of the gas
- ΔV is the change in the volume of the gas
W = P(v₂ - v₁)
where;
- v₂ is the final volume of the gas
- v₁ is the initial volume of the gas
since the volume of the gas decreases, v₁ > v₂
The work done in decreasing the volume of the gas, is now calculated as;
W = -P(v₁ - v₂)
Thus, the sign of work done in compressing the gas is negative.
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