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Question

The reaction of cyan-amide, NH2CN(s), with dioxygen was carried out in a bomb calorimeter, and ΔU was found to be 742.7kJ mol1 at 298 K. Calculate enthalpy change for the reaction at 298 K.
NH2CN(g)+32O2(g)N2(g)+CO2(g)+H2O(l)

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Solution

NH2CN(g)+32O2(g)N2(g)+CO2(g)+H2O(l)
From the above reaction,
Δng=nPnR=(1+1)(1+32)=12
Given:-
ΔU=742.7kJ/mol
T=298K
As we know that,
ΔH=ΔU+ΔngRT
ΔH=742.7+(12×8.314×103×298)
ΔH=742.71.238=743.938
Hence the enthalpy change for the given reaction is 743.938kJ/mol.

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