2 mole of an ideal monoatomic gas undergoes a reversible process for which `PV^(2)=C`. The gas is expanded from initial volume of 1 L to final volume of 3 L starting from initial temperature of 300 K. Find `DeltaH` for the process :

Options

A. `-600R`
B. `-1000 R`
C. `-3000 R`
D. `-2000 R`

Answer

B

Explanation

`P_(2)V_(2)^(2) = P_(1)V_(1)^(2)`
`(P_(2))/(P_(1)) = ((V_(1))/(V_(2)))^(2)` Now, `(T_(2))/(T_(1)) = (P_(2)V_(2))/(P_(1)V_(1)) = (V_(1))/(V_(2)) = (1)/(3)`
`:. T_(2) = (300)/(3) = 100 K , Delta H = nC_(p, m)Delta T`
`= 2 xx (5)/(2)R xx (-200 K) = -1000 R`