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A cylinder of fixed capacity 44.8 litres...

A cylinder of fixed capacity `44.8` litres constains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by `15^(@)C` ? Given `R=8.31 j mol e^(-1) K^(-1)` . (For monoatomic gas, `C_(v)=3 R//2`)

A

265 J

B

`310.10 J`

C

`373.95 J`

D

`387.97 J`

Text Solution

Verified by Experts

The correct Answer is:
C
Since one mole of any ideal gas at STP occupies a volume of 22.4 litre.
Therefore, cylinder of fixed capacity 44.8 litre must contain 2 moles of helium at STP.
For helium, `C_(V)=3/2R` (monatomic)
`therefore` Heat needed to raise the temperature,
Q= number of moles `xx` molar specific heat `xx` raise in temperature
`=2xx3/2Rxx15=45R=45xx8.31J=373.95J`
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