1.

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).

Answer»

`-227R`
`-810` Cal
`-405R`
`-3.367 kJ`

Solution :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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