Question

Consider the general reaction below and the following average rate data over some time period, Δt. Determine a set of possible coefficients to balance this general reaction. (Use the lowest possible coefficients.)
a A + b B → c C

- delta A\delta t= 0.0065 mol/L · s
- delta B\delta t= 0.0130 mol/L · s
- delta C\delta t= 0.0065 mol/L · s
a =
b =
c =

Answer 1

Answer:

The values of stoichiometric coefficients of the reaction are :

a = 1, b = 2, c = 1

Explanation:

$aA+bB\rightarrow cC$

Rate of the reaction will given as:

$R=-\frac{1}{a}\frac{d[A]}{dt}=-\frac{1}{b}\frac{d[B]}{dt}=\frac{1}{c}\frac{d[C]}{dt}$

Given :

Rate of decrease in concentration of A = $-\frac{d[A]}{dt}=0.0065 mol/L s$

Rate of decrease in concentration of B = $-\frac{d[B]}{dt}=0.0130 mol/L s$

$-\frac{1}{a}\frac{d[A]}{dt}=-\frac{1}{b}\frac{d[B]}{dt}$

$\frac{1}{a}\times 0.0065 mol/L s=\frac{1}{b}\times 0.0130 mol/L s$

$a=0.5b$

b = 2a

Rate of increase in concentration of C = $-\frac{d[C]}{dt}=0.0065 mol/L s$

$-\frac{1}{a}\frac{d[A]}{dt}=\frac{1}{c}\frac{d[C]}{dt}$

$\frac{1}{a}\times 0.0065 mol/L s=\frac{1}{c}\times 0.0065mol/L s$

a = c

$aA+2aB\rightarrow aC$

$A+2B\rightarrow C$

The values of stoichiometric coefficients of the reaction are :

a = 1, b = 2, c = 1