Is half life for first order is depend on the stochiometric coefficient of reactant or product? [closed]

I took k=6.93x10^(-2) as given in ques and use the half life formula for 1st order kinetics and solve and finally get 10 min as a ans but right ans is 5 min and i m not able to get that..... Plse tell where i m doing mistake??

• Please 1) Type out your question instead of posting a picture, 2) Include your thoughts and the entire method you used to tackle the problem... we aren't here to do your homework for you, and 3) Watch your sentence construction ;) – paracetamol May 11 '17 at 12:18

If the reaction has the form $aA \rightarrow B + C$ then the rate at which B and C are produced is $1/a$ of the rate at which A disappears, thus $$-\frac{1}{a}\frac{dA}{dt}= \frac{dB}{dt}= \frac{dC}{dt}=kA$$
On this basis the half-life should be $5$ minutes in your question.