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Question

Calculate ΔH/kJ for the following reaction using the listed standard enthalpy of reaction data.
2N2(g)+5O2(g)2N2O5(s)


N2(g)+3O2(g)+H2(g)2HNO3(aq); ΔH/kJ=414.0
N2O5(s)+H2O(l)2HNO3(aq); ΔH/kJ=86.0
2H2(g)+O2(g)2H2O(l); ΔH/kJ=571.6

A
-84.4
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B
-243.6
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C
-71.2
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D
-121.8
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Solution

The correct option is A -84.4
2N2(g)+5O2(g)2N2O5(s) ----- a

Given that,
N2(g)+3O2(g)+H2(g)2HNO3(aq);ΔH/kJ=414.0 -------- 1
N2O5(s)+H2O(l)2HNO3(aq);ΔH/kJ=86.0 -------- 2

2H2(g)+O2(g)2H2O(l);ΔH/kJ=571.6 ------------- 3
Applying Hess's law,
Eqn (a) = 2 x Eqn (1) - 2 x Eqn (2) - Eqn (3)

ΔHr=[2(414)+2(86)+571.6]
ΔHr=84.4 kJ

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