NH3(g) + CH4(g) β HCN + 3H2 β H:255.95
Given
Reaction and the enthalpy
Required
The change of enthalpy
Solution
Reaction 1
N2 (g) + 3H2 (g) --> 2NH3 β H: -91.8 kJ/molβreverse
2NH3 β N2 (g) + 3H2 (g) β H: +91.8 kJ/mol
Reaction 2
C (s, graphite) + 2H2 (g)β CH4 (g) βH: -74.9 kJ/mol βreverse
CH4 (g) β C (s, graphite) + 2H2 (g) βH: +74.9 kJ/mol β x2
2CH4 (g) β 2C (s, graphite) + 4H2 (g) βH: +149.8 kJ/mo
Reaction 3
H2 (g) + 2C (s, graphite) + N2 (g) β 2HCN (g);β H: +270.3 kJ/mol
Add up all the reactions and remove the same compound from different sides :
2NH3 β N2 (g) + 3H2 (g) β H: +91.8 kJ/mol
2CH4 (g) β 2C (s, graphite) + 4H2 (g) βH: +149.8 kJ/mol
H2 (g) + 2C (s, graphite) + N2 (g) β 2HCN (g) β H: +270.3 kJ/mol
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2NH3(g) + 2CH4(g) β 2HCN + 6H2 β H: 511.9 β :2
NH3(g) + CH4(g) β HCN + 3H2 β H:255.95