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Question

Given the heats of reaction below:
Mg(s)+2HCl(aq)MgCl2(aq)+H2(g)
H=143 kJ
MgO(s)+2HCI(aq)MgCI2(aq)+H2O(g)
H=216 kJ
H2(g)+1/2O2H2O(I)
H=285 kJ
Calculate the heat for the overall reaction from the above data.
Mg(s)+1/2O2MgO(s)

A
644 kJ
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B
212 kJ
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C
+644 kJ
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D
74 kJ
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E
+74 kJ
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Solution

The correct option is A 212 kJ
For the net reaction
Mg(s)+1/2O2MgO(s)
Reaction 1 and reaction 3 need to progress in forward direction and reaction 2 need to progress in backward direction.
Mg(s)+2HCl(aq)MgCl2(aq)+H2(g)
H=143 kJ ...... (1)
MgCI2(aq)+H2O(g)MgO(s)+2HCI(aq)
H=+216 kJ ...... (2)
H2(g)+1/2O2H2O(I)
H=285 kJ ...... (3)
--------------------------------------------
Mg(s)+2HCl(aq)+H2(g)+1/2O2+MgCl2(aq)+H2O(g)MgO(s)+2HCl(aq)+MgCl2(aq)+H2(g)+H2O(l)
Hence, the net reaction is
Mg(s)+1/2O2MgO(s)
The overall heat would be then:
Heat of Reaction 1 - heat of Reaction 2 + heat of Reaction 3
ΔH=143 kJ(216kJ)+(285kJ)=212 kJ

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