Question

The rate of reaction for certain reaction is expressed as:
$\frac{1}{3}\frac{d\left[A\right]}{dt}=-\frac{1}{2}\frac{d\left[B\right]}{dt}=-\frac{d\left[C\right]}{dt}$
The reaction is:

• A. $3A\to 2B+C$
• B. $2B\to 3A+C$
• C. $2B+C\to 3A$
• D. $3A+2B\to C$

Answer 1

The correct option is C $2B+C\to 3A$

For a reaction $aA+bB\to cC$, the rate of reaction is expressed as-

Rate of reaction $=\frac{-1}{a}\frac{d\left[A\right]}{dT}=\frac{-1}{b}\frac{d\left[B\right]}{dT}=\frac{+1d\left[C\right]}{dT}$

Thus, for a given rate expression the reaction is : $2B+C\to 3A$

[Note: Negative sign is for the reactants and positive sign for product]