Chemical Kinetics and Nuclear ChemistryMedium

Question

Consider the first order reaction $R \rightarrow P$.

The fraction of molecules decomposed in the given first order reaction can be expressed as

Options

A.$1 - e^{k_{1}t}$
B.$1 + e^{k_{1}t}$
C.$1 + e^{- k_{1}t}$
D.$1 - e^{- k_{1}t}$

Solution

Sol. [Key Concept: For first order, fraction decomposed $\frac{x}{a} = 1 - e^{- k_{1}t}$.]

$I^{\text{st}\text{~}}$ order of $R\mu^{H}$

$${a - x = ae^{- K_{1}t} }{\frac{x}{a} = 1 - e^{- K_{1}t} }$$

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