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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 ` Delta U ` is 14 kJ, what is in J ? ` Delta pV ` for this process ` ( R = 8.0J K ^( -1 ) mol^( -1) ) `

A

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

B

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

C

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

D

`DeltaU = 28 kJ, Delta(pv) = 0.8 kJ`

Text Solution

Verified by Experts

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