Question

Write a balanced reaction for which the following rate relationships are true.ANORate =ON+0₂-NO0240+24+02₂ONO+№+20₂ONO+№₂+0₂02M₂+0₂-24₂02 At1 A/N2 At4/0₂]At

Answer 1

`2N_2O\rightarrow2N_2+O_2`

Explanations:

Given the general reaction expressed as:

`aA+bB\rightarrow cC+dD`

The equivalent rate of reaction is given as;

`-(1)/(a)(\triangle[A])/(\triangle[t])=-(1)/(b)\frac{\triangle{[B]}}{\triangle[{t}]}=(1)/(c)\frac{\triangle{[C]}}{\triangle[{t}]}=(1)/(d)\frac{\triangle{[D]}}{\triangle[{t}]}`

Note that the reciprocal of the coefficient at the reactant are negated.

Given the rate relationship;

`-(1)/(2)\frac{\triangle[N_2O]}{\triangle{[t}]}=(1)/(2)\frac{\triangle{[N_2]}}{\triangle{[t}]}=(1)/(1)\frac{\triangle[O_2]}{\triangle[{t]}}`

This shows that the compound at the reactant is N2O with a coefficient of 2 while the elements at the product side are N2 and O2 respectively.

`2N_2O\rightarrow2N_2+O_2`

This gives the equaivalent chemical reaction