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Question

C(s)+O2(g)CO2(g), ΔrH=94.3 kcal/mol

CO(g)+12O2(g)CO2(g), ΔrH=67.4kcal/mol

O2(g)2O(g), ΔrH=117.4Kcal/mol

CO(g)C(g)+O(g), ΔrH=230.6Kcal/mol

Calculate: ΔrH for C(s)C(g) in Kcal/mol



A

165 kcal/mol

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B

145 kcal/mol

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C

185 kcal/mol

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D

205 kcal/mol

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Solution

The correct option is B

145 kcal/mol


C(s)+O2(g)CO2(g), ΔrH1=94.3 kcal/mol eq.(1)

CO(g)+12O2(g)CO2(g), ΔrH2=67.4kcal/mol.eq.(2)

O2(g)2O(g), ΔrH3=117.4Kcal/mol.eq.(3)

CO(g)C(g)+O(g), ΔrH4=230.6Kcal/moleq.(4)

adding equation (1) and equation (4), we get

C(s)+O2(g)+CO(g)CO2(g)+C(g)+O(g).eq.(5)

reversing the equation (2), we get

CO2(g)CO(g)+12O2(g)eq.(6)

Now, adding equation (5) and equation (6), we get

C(s)+12O2(g)C(g)+O(g)eq.(7)

Now, on reversing the equation (3) and multiplying it by 12, we get

O(g)12O2(g)eq.(8)

Now, adding equation (7) and equation (8), we get

C(s)C(g)

so, using the Hess law,
ΔrH for C(s)C(g) is
ΔrH=ΔrH1ΔrH212×ΔrH3+ΔrH4

ΔrH=(94.3+67.412×117.4+230.6) ΔrH=145 kcal/mol.


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