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One mole of an ideal gas (gamma=1.4) is ...

One mole of an ideal gas `(gamma=1.4)` is compressed adiabatically , so that its temperature is increased from `27^@ C " to " 35^@C` If R = 8.31 J/K/mole then the change in the internal energy of the gas is :

A

168 J

B

166 J

C

83 J

D

332 J

Text Solution

Verified by Experts

The correct Answer is:
B
Change in internal energy `DeltaU = nC_vDeltaT`
`Delta = 8K`
`C_P - C_V = R`
`C_P/C_V-1R/C_V`
`:. C_V = R/ (r-1)`
`DeltaU =(nRDeltaT)/(r-1) = (1xx8.31xx8)/(1.4-1)`
`DeltaU = 166J`
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