The thermal decomposition of formic acid (HCOOH) is a first order reaction with the rate constant of `2.4 xx 10^(-3)s^(-1)` at a certain temperature.Calculate how long will it take for three-fourth of initial quantity of HCOOH to decompose.

Explanation

To solve the problem, we will use the first-order reaction rate equation. The formula for a first-order reaction is given by:

\[ k = \frac{2.303}{t} \log \left( \frac{[A_0]}{[A]} \right) \]

Where:
- \( k \) is the rate constant,
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