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Question

Given
(i)C(graphite)+O2(g)CO2(g);rH=xKJmol1(ii)C(graphite)+12O2(g)CO(g);rH=yKJmol1(iii)CO(g)+12O2(g)CO2(g);rH=zKJmol1
Based on the above thermochemical equations, find out which one of the following algebraic relationships is correct?

A
z=x+y
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B
x=yz
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C
x=y+z
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D
y=2zx
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Solution

The correct option is C x=y+z
(i) C(graphite)+O2(g)CO2(g)(ii) C(graphite)+12O2(g)CO(g)(iii) CO(g)+12O2(g)CO2(g)
On analysis the three given reaction we can see that
by adding (ii) and (iii) we get (i)
(ii) + (iii) = (i)
Thus, the enthalpy of the reaction follows the same.
Addition of enthalpy of (ii) and (iii) will give enthalpy of reaction (i).
y + z = x
C (graphite)+O2(g)CO2(g),i.e.,x=y+z

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