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Thermodynamics

Question
CBSEENCH11006144

If water vapour is assumed to be a perfect gas,
molar enthalpy change for vapourisation of 1 mol of water at 1bar and 100°C is 41kJ mol–1. Calculate the internal energy change, when

(i) 1 mol of water is vaporised at 1 bar pressure and 100°C.

Solution

straight i right parenthesis space The space change space straight H subscript 2 straight O space left parenthesis straight l right parenthesis space rightwards arrow straight H subscript 2 straight O left parenthesis straight g right parenthesis
increment straight H equals space increment straight U space plus increment straight n subscript straight g RT
or
increment straight U equals space increment straight H space minus increment straight n subscript straight g RT
substitutig space the space value comma space we space get

increment straight U space equals 41.00 space KJ space mol to the power of negative 1 end exponent minus 1 space straight x 8.3 space straight J space mol to the power of negative 1 end exponent space straight K to the power of negative 1 end exponent
space space space space space space space space space space space space straight x space 373 space straight K

equals space 41.00 space kJ space mol to the power of negative 1 end exponent space minus 3.096 space kJ space mol to the power of negative 1 end exponent

equals 37.904 space kJ space mol to the power of negative 1 end exponent