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Consider the reaction: 2NO(g)+O(2)(g) ...

Consider the reaction:
`2NO(g)+O_(2)(g) rarr 2NO_(2)(g)`
Calculated the standard Gibbs energy change at `298K` and predict whether the reaction is spontaneous or not. `Delta_(f)G^(Theta) (NO) = 86.69 kJ mol^(-1), Delta_(f)G^(Theta) (NO_(2)) = 51.84 kJ mol^(-1)`.

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Verified by Experts

The correct Answer is:
`-69.7 kJ` , spontaneous reaction.

For the reaction:
`2NO(g) + O_(2)(g) to 2NO_(2)(g)`
`DeltaG^(@) = 2Delta_(f)G^(@)(NO_(2)) - [2Delta_(f)G^(@)(NO) + Delta_(f)G^(@)(O_(2))]`
` 2 xx 51.84-2 xx 86.69 - 0`
` = 103.68 - 173.38`
` = -69.7 kJ mol^(-1)`.
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