Find the rate constant for first order gaseous reaction:
\(A(g)-------> B(g) + C(g)\)
\(A(g)-------> B(g) + C(g)\)
- \(K = \frac{2.303}{t} \log \frac{p_i}{2p_i-p_t}\)
- \(K =\frac{ 2.303}{t}\ log \frac{2p_i}{p_i-p_t}\)
- \(K = \frac{2.303}{t} \log \frac{p_i-p_t}{2p_i}\)
- \(K = \frac{2.303}{t} \log \frac{2p_t}{2p_i-p_t}\)
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:
- Temperature
- Catalyst
- Reactant Concentration
- Chemical nature of Reactant
- Reactant Subdivision rate