NCERT Class XI Chemistry Thermodynamics Solutions

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Question : 14
Total: 22
Calculate the standard enthalpy of formation of CH3OH(l) from the following data :
CH3OH(l)+
3
2
O2(g)
CO2(g)+2H2O(l) ; rH° = - 726 kJmol1
C(graphite)+O2(g)CO2(g) ; ΔcH° = - 393 kJmol1
H2(g)+
1
2
O2(g)
H2O(l) ; ΔfH° = - 286 kJmol1
Solution:  
The given thermochemical equations are
CH3OH(l)+
3
2
O2(g)
CO2(g)+2H2O(l) ; ΔrH° = - 726 kJmol1 ... (1)
C(graphite)+O2(g)CO2(g) ; ΔcH° = - 393 kJmol1 ... (2)
H2(g)+
1
2
O2(g)
H2O(l) ; ΔfH° = - 286 kJmol1 ... (3)
The required thermochemical equation is
C(s)+2H2(g)+
1
2
O2(g)
CH3OH(l) ; ΔH = ?
2 × eqn. (3) + eqn. (2) – eqn. (1) gives
C(s)+2H2(g)+
1
2
O2(g)
CH3OH(l)C(s)+2H2(g)+
1
2
O2(g)
CH3OH(l)
ΔH = (–286 × 2) + (–393) – (–726) = –572 – 393 + 726 = –239 kJ
ΔfH° for CH3OH(l) = –239 kJmol1
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