Question:

Find the rate constant for first order gaseous reaction: 
\(A(g)-------> B(g) + C(g)\)

Updated On: Aug 22, 2024
  • \(K = \frac{2.303}{t} \log \frac{p_i}{2p_i-p_t}\)
  • \(K =\frac{ 2.303}{t}\ log \frac{2p_i}{p_i-p_t}\)
  • \(K = \frac{2.303}{t} \log \frac{p_i-p_t}{2p_i}\)
  • \(K = \frac{2.303}{t} \log \frac{2p_t}{2p_i-p_t}\)
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The Correct Option is A

Solution and Explanation

The Correct Option is (A) : \(K = \frac{2.303}{t} \log \frac{p_i}{2p_i-p_t}\)

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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