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A cylinder of fixed capacity (of 44.8 L)...

A cylinder of fixed capacity (of 44.8 L) contains 2 moles of helium gas at STP .What is the amount of heat needed to raise the temperature of the gas in the cylinder by `20^(@)C` ? `("Use"R=8.31J"mol"^(-1)K^(-1))`

A

996 J

B

831 J

C

498 J

D

374 J

Text Solution

Verified by Experts

The correct Answer is:
C
Since , the volume of cylinder is fixed and helium is a monoatomic gas.
The internal energy = `muCvDeltaT`
`U=(1)/(2)fmuRDeltaT" " [thereforeC_(v)=(1)/(2)fR]`
`U=(1)/(2)xx3xx2xx8.31xx20=20=498.6J`
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