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Question
The initial pressure and volume of a gas enclosed in a cylinder are 2 × 105 N/m2 and 6 × 10-3 m3 respectively. If the work done in compressing the gas at constant pressure is 150 J. find the final volume of the gas.
Solution
Given data,
ρ = 2 × 105 N/m2
Vi = 6 × 10-3
W = - 150 J
Vf = ?
W = P(Vf - Vi)
Vf = Vi + `"W"/"P"`
`= 6 xx 10^-3 + ((- 150)/(2 xx 10^5))`
`= 6 xx 10^-3 + (- 75 xx 10^-5)`
`= 6 xx 10^-3 - 0.75 xx 10^-3`
`"V"_"f" = 5.25 xx 10^-3 "m"^3`
Flnal volume of the gas is 5.25 × 10-3 m3.
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