Question:

For an elementary reaction $2A+3B \to 4C+D$ the rate of appearance of $C$ at time $?t?$ is $2.8\times10^{-3} \,mol \,L^{-1}S^{-1}$. Rate of disappearance of $B$ at ?$t$? will be

Updated On: Apr 19, 2024
  • $\frac{4}{3}(2.8\times10^{-3}) mol L^{-1}S^{-1}$
  • $\frac{3}{4}(2.8\times10^{-3}) mol L^{-1}S^{-1}$
  • $2(2.8\times10^{-3}) mol L^{-1}S^{-1}$
  • $\frac{1}{4}(2.8\times10^{-3}) mol L^{-1}S^{-1}$
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The Correct Option is B

Solution and Explanation

The given reaction is,

$2 A+3 B \rightarrow 4 C+D$

So, $-\frac{1}{3} \frac{d[B]}{d t}=\frac{1}{4} \frac{d[c]}{d t}$
$\Rightarrow-\frac{d[B]}{d t}=\frac{3}{4} \frac{d[C]}{d t}$
$=\frac{3}{4}\left(2.8 \times 10^{-3}\right) m o l\, L^{-1} S^{-1}$
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Concepts Used:

Rate of a Chemical Reaction

The rate of a chemical reaction is defined as the change in concentration of any one of the reactants or products per unit time.

Consider the reaction A → B,

Rate of the reaction is given by,

Rate = −d[A]/ dt=+d[B]/ dt

Where, [A] → concentration of reactant A

[B] → concentration of product B

(-) A negative sign indicates a decrease in the concentration of A with time.

(+) A positive sign indicates an increase in the concentration of B with time.

Factors Determining the Rate of a Reaction:

There are certain factors that determine the rate of a reaction:

  1. Temperature
  2. Catalyst
  3. Reactant Concentration
  4. Chemical nature of Reactant
  5. Reactant Subdivision rate