Question:

3A → 2B,rate of reaction +d[B]/dt is equals to 

Updated On: Apr 17, 2024
  • – \(\frac{3}{2}\frac{d[A]}{dt}\)

  • – \(\frac{2}{3}\frac{d[A]}{dt}\)

  • \(-\frac{1}{3}\frac{d[A]}{dt}\)

  • \(2d\frac{d[A]}{dt}\)

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The Correct Option is B

Solution and Explanation

The correct option is (B) : \(\frac{2}{3}\frac{d[A]}{dt}\) 

3A→2B For the given reaction we can write rate of reaction: −\(\frac{1}{3}\)=\(\frac{d[A]}{dt}\) ​=−\(\frac{1}{20}\)\(\frac{d[B]}{dt}\) ​⇒+\(\frac{d[B]}{dt}\)= −\(\frac{2}{3}\frac{d[A]}{dt}\)

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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