JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics
Consider the first order reaction \(R \rightarrow P\). The fraction of molecules decomposed in the given first order reaction can be expressed as
- A \(1 - e^{k_1 t}\)
- B \(1 + e^{k_1 t}\)
- C \(1 + e^{-k_1 t}\)
- D \(1 - e^{-k_1 t}\)
Answer & Solution
Correct Answer
(D) \(1 - e^{-k_1 t}\)
Step-by-step Solution
Detailed explanation
For a first order reaction, the concentration of reactant at time \(t\) is given by \([R]_t = [R]_0 e^{-k_1 t}\) The amount of reactant decomposed is \([R]_0 - [R]_t = [R]_0 - [R]_0 e^{-k_1 t} = [R]_0 (1 - e^{-k_1 t})\) The fraction of molecules decomposed is…
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