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A compressed cylinder of gas contains 1....

A compressed cylinder of gas contains `1.50xx10^(3)` g of `N_(2)` gas at a pressure of `2.0xx10^(7)` Pa and a temperature of `17.1^(@)C`. What volume of gas has been released into the atmosphere if the final pressure in the cylinder is `1.80xx10^(5)` Pa ? Assume ideal behaviour and that the gas temperature is unchanged.

A

1264 L

B

126 L

C

12600 L

D

45 L

Text Solution

Verified by Experts

The correct Answer is:
a

(a) `n_(N_(2))=53.57"mole"`
`(P_(1))/(P_(2))=(n_(1))/(n_(2))`
`n_(2)=(1.8)/(200)=0.009xx53.57=0.48213`
`n_(N_(2))"escape"=53.087`
`"volume"=(nRT)/(P)=1264L`
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