Consider a certain reaction $A \to$ Products with, $k = 2.0 \times 10^{- 2} s^{- 1}$ . Calculate the concentration of A remaining after $100$ s, if the initial concentration of A is $1.0 m o l L^{- 1}$ .

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Solution

The integrated rate expression for the first order reaction is as follows:
$k = \frac{2.303}{t} l o g \frac{[A]_{0}}{[A]}$
$⟹ 2.0 \times 10^{- 2} = \frac{2.303}{t} l o g \frac{1.0}{[A]}$
$⟹ l o g \frac{1.0}{[A]} = 0.868$
$⟹ [A] = 0.135 M$
Hence, the concentration of $A$ remaining after $100$ seconds is $0.135$ M.

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Consider a certain reaction A→ Products with, k=2.0×10−2s−1. Calculate the concentration of A remaining after 100 s, if the initial concentration of A is 1.0molL−1.

The integrated rate expression for the first order reaction is as follows:k=2.303tlog[A]0[A]⟹2.0×10−2=2.303tlog1.0[A]⟹log1.0[A]=0.868⟹[A]=0.135MHence, the concentration of A remaining after 100 seconds is 0.135 M.

Consider a certain reaction $A \to$ Products with, $k = 2.0 \times 10^{- 2} s^{- 1}$ . Calculate the concentration of A remaining after $100$ s, if the initial concentration of A is $1.0 m o l L^{- 1}$ .