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Question

Bond dissociation enthalpy of H2,Cl2 and HCl are 434, 242 and 431 kJ mol−1 respectively.


Enthalpy of formation of HCl is:

A
93 kJ mol1
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B
245 kJ mol1
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C
93 kJ mol1
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D
245 kJ mol1
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Solution

The correct option is D 93 kJ mol1
The reaction between hydrogen and chlorine molecules to form hydrogen chloride. This reaction can be broken down into these simple steps:

H2(g)+Cl2(g)2HCl(g)

Step 1: Dissociation of Hydrogen and Chlorine molecules into their respective atoms
H2(g)2H(g)
Cl2(g)2Cl(g)

Step 2: Combination of these atoms to form hydrogen chloride
2H(g)+2Cl(g)2HCl(g)

Since in the first step, one-mole of each HH and ClCl bonds are broken, it is an endothermic process (ΔH1>0) while in the second step two moles of HCl are being formed which releases energy making ΔH2<0

Now, ΔH1=ΔHClCl+ΔHHH
=434+242
=676kJmol1

Now, ΔH2=2ΔHHCl
=862kJmol1

Applying Hess Law, i.e, ΔH=ΔH1+ΔH2, we get

ΔH=186kJmol1

This is the enthalpy of formation of two moles of HCl. Hence the enthalpy of formation of one mole of HCl will be

ΔH=93kJmol1


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