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Two moles of ideal helium gas are in a r...

Two moles of ideal helium gas are in a rubber balloon at `30^@C.` The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to `35^@C.` The amount of heat required in raising the temperature is nearly (take R
`=8.31 J//mol.K`)

A

62 J

B

104 J

C

124 J

D

208 J

Text Solution

Verified by Experts

The correct Answer is:
D
The helium gas in the balloon is expanding at constant pressure.
`therefore` Heat required to raise the temperature of helium is
`dQ=nC_(P)dT=nC_(P)(T_(2)-T_(1))`
For helium `C_(P)=5/2R`, as it is monoatomic and n = 2
`thereforedQ=nxx5/2Rxx(T_(2)-T_(1))`
`=5xx8.31xx(35-30)=207.75=208 J`
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MARVEL PUBLICATION-KINETIC THEORY OF GASES ,THERMODYNAMICS AND RADIATION-TEST YOUR GRASP - 9
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