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A cylinder witih fixed capacity of 67.2 ...

A cylinder witih fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise the temperature of the gas by `20^(@)` C is ________ J. [Given that R = 8.31 `J mol^(-1) K^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
747.9
`Q=nC_(v)DeltaT` (Volume in onts).
`n=(67.2)/22.4 =3` (as molar volume of a gas at stp = 22.4 lit).
`C_(v) =(fR)/2 = (3R)/2, Delta T = 20^(@)`
`Q = 3 xx (3R)/2 xx 20 = 90 R = 747.9 J`
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