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Question

Caculate the enthalpy change on freezing of 1.0 mol of water at 10.0oC,ΔfusH=6.03kJmol1 at 0oC
CP[H2O(l)]=75.3Jmol1K1
CP[H2O(s)]=36.8Jmol1K1

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Solution

Step 1 : Enthalpy change due to change in temperature 100C to 00C
ΔH1=CP[H2O(l)]×ΔT=75.3×(010)=0.753kJ/mole
Step 2 : Enthalpy of fusion
H2O(s)H2O(s) at 00C
ΔH2=ΔHfreezing=6.03kJ/mole
Step 3 : Enthalpy change for changing temperature 00C to 100C
ΔH3=CP[H2O(s)]×ΔT=36.8×10=0.368kJ/mole
ΔHtotal=ΔH1+ΔH2+ΔH3
=0.7536.030.368
=7.151kJ/mol.

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