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14 g oxygen at 0^(@)C and 10 atm is subj...

`14 g` oxygen at `0^(@)C` and `10 atm` is subjected to reversible adiabatic expasnion to a pressure of `1atm`. Calculate the work done in
a. Litre atomsphere.
b. Caloride (given, `C_(P)//C_(V) = 1.4)`.

Text Solution

Verified by Experts

For adiabatic expansion,
`T^(1)F^(1-Y) = "const"`
`rArr (T_(1)/T_(2))^(T) =(P_(2)/P_(1))^(1-Y)`
`y xx logT_(1)/T_(2) = (1-y) log P_(2)/P_(1)`
`rArr 1.4 log (27.3)/T_(2) = (1-1A) log 1/10`
`T_(2) = 141.A` R
Work done in adiabatic expansion in L atm `=(nR)/(y-1)(T_(1)-T_(1)) = 14/32 xx (0.0821(141.4 -273))/(1.4-1)`
`w_(rev) = -11.82 L atm`
In Calorie `=14/3 xx (2 xx (141.4 - 273))/(1.4-1)`
`w_("rev") = - 287.88` cal
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