Lime is made commercially by decomposition of limestonese, `CaCO_(3)`. What is the change in intremal
energy when `1.00` mole of soild `CaCO_(3)` (V= 34. 2 ml) absobs `177.9 kJ` of heat and decomposese at
`25^(@)` C agnist a pressure of `1.0` atm to give solid CaO. ( Volume = 16.9 ml) and `CO_(2)` (g) (V=24.4 L).

Answer

`q = 177.9 kJ, w = - 2.5 kJ; DeltaE = 175.4 kJ`

Explanation

`q = 177.9 kJ`
`w =- P_("ext") (V_(2)- V_(1)) =- (24.4 -(34.2 + 16.9 ) xx 10^(-3))atmL `
` = - 2.5 kJ " "("1 atm = 101.3 J")`
`DeltaE = 177.9 - 2.5 = 175.4 KJ`