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On the basic of thermochemical equations...

On the basic of thermochemical equations (I),(II)and (III), Find out which of the algebraic relationships given in options (a)to (d) is correct ?
(I)`C("graphite")+O_(2)(g)to CO_(2)(g),`
`Delta_(r)H=XKJmol^(-1)`
(II)`C("graphite")+(1)/(2)O_(2)(g)toCO(g),`
`Delta_(r)H=yKJ mol^(-1)`
`(III) CO(g)+(1)/(2)O_(2)(g)toCO_(2)(g), Delta_(r)H=zKJ mol^(-1)`

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On the basis of thermochemical equation (a), (b) and (c ), which of the algebric relationship is correct. ( a) C("graphite") + O_(2)(g) rarr CO_(2)(g) , Delta_(r)H = x kJ mol^(-1) (b) C("graphite") + (1)/(2)O_(2)(g) rarr CO(g) , Delta_(r)H = y kJ mol^(-1) ( c) CO(g) + (1)/(2)O_(2)(g) rarr CO_(2)(g) , Delta_(r)H = z kJ mol^(-1)

On the basis of thermochemical equations (i), (ii) and (iii), find out which of the algebraic relationships given in options (a) to (b) is correct i) C("graphite") + O_2(g) rarr CO_2(g), Delta_rH = x kJmol^-1, ii)C("graphite") + 1/2O_2(g) rarr CO_2(g), Delta_rH = y kJmol^-1, iii)CO+1/2O_2(g) rarr CO_2(g), Delta_rH = z kJmol^-1