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A cylinder of fixed capacity 44.8 litre...

A cylinder of fixed capacity 44.8 litres contains helium gas at standard pressure at temperature . What is the amount of heat need to rest that temperature of the gas by `15.00^@C ? [ R = 8.31 " J mol"^(-1)K^(-1)]`

Text Solution

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Volume of 1 mole of He at STP=22.4 litres
Total volume of He at STP=44.8 litres
`therefore` No. of moles of He, `n=(44.8)/(22.4)=2`
Molar specific heat of He (monoatomic gas) at constant volume,
`C_(V)=3/2R=3/2xx8.31xxmol^(-1)K^(-1)`
`DeltaT=15^(@)C`
Heat required , `Q=nC_(V)DeltaT=2xx3/2xx8.31xx15`
Q=373.95J
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