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a gas is filled in a cylinder.its temperature is increased by 20% and volume decreases byby 20%.if pressure remains constant, what percentage of mass of the gas leaks out ?

a gas is filled in a cylinder.its temperature is increased by 20% and volume decreases byby 20%.if pressure remains constant, what percentage of mass of the gas leaks out ?

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1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear Ankit

PV=mRT

take log

logP +logV =logm +logR +logT

differentiate

δP/P  +δV/V =δm/m +δT/T

or

δP/P *100   +δV/V *100 =δm/m*100 +δT/T *100

here

δP =0

δV/V *100 =-20

δT/T *100 =20

put in above equation

δm/m*100 =-40

percentage leakage of mass is 40


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