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310 J of heat is required to rise the te...

310 J of heat is required to rise the temperature of 2 moles of an ideal gas at constant pressure from `25^(@)C` to `35^(@)C`. The amount of heat required to raise the temperature of the gas through the same range at constant volume, is

A

384 J

B

144 J

C

276 J

D

452 J

Text Solution

Verified by Experts

The correct Answer is:
B
`C_P-C_V = R`
At P = constant, `DeltaQ=nC_P DeltaT`
`implies 310 = 2 xx C_P.(35-25)=20C_P implies C_P=(310)/(20)=15.5`
At V= constant
`implies Delta Q = nC_Vdelta Timplies DeltaQ=2xx(C_p -R)xx(35-25)`
`=2 xx (15.5 - 8.3)xx10=144J`
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