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Calculate the work done by the system in...

Calculate the work done by the system in an irreversible (sing step) adiabatic expansion of 2 mole of a polyatomic gas `(gamma= 4//3)` from 300K and pressure 10atm to 1 atm: (in KJ) (Give your answer after multiplying with 2.08).

A

`-227R`

B

`-810` Cal

C

`-405R`

D

`-3.367 kJ`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Irreversible adiabatic `rArr Delta E= - P_("ext") Delta V`
`nC_(V) (T_(2) - T_(1)) = -P_("ext") ((nRT_(2))/(P_(2)) - (nRT_(1))/(P_(1)))`
`2 xx 3R(T_(2) - 300) = -1(2R) ((T_(2))/(1) - (300)/(10))`
`3(T_(2) - 300) = 30 - T_(2)`
`4T_(2) = 930 rArr T_(2) = (930)/(4) = 232.5K`
`rArr Delta E= W = n C_(V) Delta T`
`=2 xx 3R (232.5 - 300)`
= -405R`
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