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Two mole of an ideal gas is heated at co...

Two mole of an ideal gas is heated at constant pressure of one atmosphere from `27^(@)C` to `127^(@)C`. If `C_(v, m) = 20 + 10^(-2) TJK^(-1) mol^(-1)`, then q and `Delta U` for the process are respectively.

A

`6362.8J,4700J`

B

`3037.2J,4700J`

C

`7062.8J,5400J`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`w=-nRDeltaT=-2xx8.314xx100`
`=-1662.8J`
`DeltaU=n intC_(v,m)dT`
`=2xxint(20+10^(-2)T)dT`
`=2xx20xx(T_(2)-T_(1))+2xx10^(-2)xx((T_(2)^(2)-T_(1)^(2)))/(2)`
= 4700 J
`4700=q-1662.8`
`therefore" "q=6362.8 J`
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