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What amount of heat must be supplied to `2.0 xx 10^(-2)` kg of nitrogen (at room temperature ) to raise the temperature by `45^(@)C` at constant pressure. Molecular mass of `N_(2) = 28 , R= 8.3 J "mol"^(-1) K^(-1)`.

A

614 J

B

756 J

C

892 J

D

934 J

Text Solution

Verified by Experts

The correct Answer is:
D
For `N_(2)` which is diatomic gas, `C_(V)=(5R)/(2)`
`C_(P)=C_(V)+R=(5R)/(2)+R=(7R)/(2)`
`DeltaQ=nC_(P)DeltaT`
`n=((m)/(M))=(2.0xx10^(-2)xx10^(3)g)/(28g)=(5)/(7)` mole
`implies DeltaQ=((5)/(7))((7)/(2)xx8.3)(45)~~934J`.
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