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5 moles of an ideal gas at 100 K are all...

5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K
If `C_(V) = 28 J K^(-1)mol^(-1)`, calculate `DeltaU` and `DeltapV` for this process. (R = 8.0 `JK^(-1)mol^(-1)`]

A

`DeltaU = 14 kJ, Delta(pV) = 4 kJ`

B

`DeltaU = 14 kJ, Delta(pV) = 18 kJ`

C

`DeltaU = 14 kJ, Delta(pV) = 0.8 J`

D

`DeltaU = 14 kJ, Delta(pV) = 0.8 kJ`

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaU = C_v DeltaT = (5xx 28 xx 100)/(1000) = 14 kJ`
`Delta(PV) = nRDeltaT = (5 xx 8 xx 100)/(1000) = 4 kJ`.
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