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Given C(("graphite"))+O(2)(g)toCO(2)(g...

Given
`C_(("graphite"))+O_(2)(g)toCO_(2)(g)`,
`Delta_(r)H^(@)=-393.5kJmol^(-1)`
`H_(2)(g)+1/2O_(2)(g)toH_(2)O(l)`,
`Delta_(r)H^(@)=-285.8kJmol^(-1)`
`CO_(2)(g)+2H_(2)O(l)toCH_(4)(g)+2O_(2)(g)`,
`Delta_(r)H^(@)=+890.3kJmol^(-1)`
Based on the above thermochemical equations, the value of `Delta_(r)H^(@)` at 298 K for the reaction
`C_(("graphite"))+2H_(2)(g)toCH_(4)(g)` will be :

A

`+144.0kJmol^(-1)`

B

`-74.8kJmol^(-1)`

C

`-144.0kJmol^(-1)`

D

`+74.0kJmol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
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Given C_(("graphite"))+O_(2)(g)toCO_(2)(g), Delta_(r)H^(0)=-393.5kJ" "mol^(-1) H_(2)(g)=+(1)/(2)O_(2)(g)toH_(2)O(1), Delta_(r)H^(0)=-285.8" kJ "mol^(-1) CO_(2)(g)+2H_(2)O(1)toCH_(4)(g)+2O_(2)(g) , Delta_(r)H^(0)=+890.3kJ" "mol^(-1) Based on the above thermochemical equations, the value of Delta_(r)H^(0) at at 298 K for the reaction C_(("graphite"))+2H_(2)(g)toCH_(4)(g) will be:

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