Consider a certain reaction `A rarr` Products with `k=2.0xx10^(-2)s^(-1)`. Calculate the concentration of `A` remaining after `100s` if the initial concentration of `A` is `1.0 mol L^(-1)`.
Text Solution
AI Generated Solution
To solve the problem of calculating the concentration of \( A \) remaining after \( 100 \) seconds for the first-order reaction \( A \rightarrow \text{Products} \), we can follow these steps:
### Step 1: Identify the reaction order and the formula to use
Since the rate constant \( k \) has units of \( s^{-1} \), we can conclude that this is a first-order reaction. The integrated rate law for a first-order reaction is given by:
\[
\ln \left( \frac{[A_0]}{[A_t]} \right) = kt
\]
...
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