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A gas in a cylinder. Its temperature is ...

A gas in a cylinder. Its temperature is increased by `20%` on kelvin scale and volume is reduced to `90%` how much percentage of the gas has to leak for pressure to remain constant?

A

`20%`

B

`25%`

C

`30%`

D

`40%`

Text Solution

Verified by Experts

The correct Answer is:
B
`PV = n RT " "(i)`
`P((90V)/(100))=n_(1)R(T+(20)/(100)T)`
`or 9/10PV=6/5m+(1)RT" "(ii)`
Dividing (ii) by (i),we get
`6/5(n_(1))/(n)=9/10or (n_(1))/(n)=(9xx5)/(6xx10)=3/4or n_(1)=3/4n`
% of gas leaked `=(n-n_(1))/(n)xx100=(1-3/4)xx100=25%`
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