One mole of an ideal gas is heated at constant pressure from `0^(@)C` to `100^(@)C`. a. Calculate the work done. b. If the gas were expanded isothermally and reversibly at `0^(@)C` from `1 atm` to some othe pressure `P`, what must be the final pressure if the maixmum work is equal to the work in `(a)`?

One mole of an ideal gas is heated at constant pressure from `0^(@)C`

1.	One mole of an ideal gas is heated at constant pressure from `0^(@)C` to `100^(@)C`. a. Calculate the work done. b. If the gas were expanded isothermally and reversibly at `0^(@)C` from `1 atm` to some othe pressure `P`, what must be the final pressure if the maixmum work is equal to the work in `(a)`?
Answer» (a) Work involved in heating of gas `W_(a)=-PDeltaV=-P(V_(2)-V_(1))` `=-P((nRT_(2))/P-(nRT_(1))/P)` `=-nR(T_(2)-T_(1))=-1xx1.987(373-273)` `=-198.7 cal` (b) Now the work equivalent to `198.7 cal` is used up in causing reversible isothermal expansion of gas at `0^(@)C`, then `W_(R)=-2.303 nRT "log"_(10)(P_(1))/(P_(2))` `:. -198.7=-2.303xx1xx1xx1.987xx273"log"_(10)(1)/(P_(t))` `:. P_(t)=0.694 atm`

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