The thermal decomposition of N2O5, A first order reaction was study and the concentration of the reactant was found to be 0.01M/dm constant of the reaction at the same point is 2.0x10⁻⁵ s⁻¹. the rate of reaction (ii) the half-life.

The reaction is first order.
The concentration of the reactant, $[\text{N}_2\text{O}_5] = 0.01 \text{ mol/dm}^3$.
The specific rate constant, $k = 2.0 \times 10^{-3} \text{ s}^{-1}$.

For a first-order reaction, the rate law is:

Substitute the given values:

The rate of reaction is $\boxed{\text{2.0} \times 10^{-5} \text{ mol dm}^{-3}\text{ s}^{-1}}$.

For a first-order reaction, the half-life ($t_{1/2}$) is given by the formula:

Substitute the value of $k$:

The half-life is $\boxed{\text{346.5 s}}$.