The time required to reduce the concentration from 0.00757 M to 0.00180 M is equal to 1.52 × 10⁻⁴ s. The half-life period of the reaction is 9.98× 10⁻⁵s.
<h3>What is the rate of reaction?</h3>
The rate of reaction is described as the speed at which reactants are converted into products. A catalyst increases the rate of the reaction without going under any change in the chemical reaction.
Given the initial concentration of the reactant, C₀= 0.00757 M
The concentration of reactant after time t is C₁= 0.00180 M
The rate constant of the reaction, k = 37.9 M⁻¹s⁻¹
For the first-order reaction: ![C_t =C_0-kt](https://tex.z-dn.net/?f=C_t%20%3DC_0-kt)
0.00180 = 0.00757 - (37.9) t
t = 1.52 × 10⁻⁴ s
The half-life period of the reaction: ![t_{\frac{1}{2} } =\frac{C_0}{2k}](https://tex.z-dn.net/?f=t_%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%5Cfrac%7BC_0%7D%7B2k%7D)
![t_{\frac{1}{2} } =\frac{0.00757}{2\times 37.9}](https://tex.z-dn.net/?f=t_%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%5Cfrac%7B0.00757%7D%7B2%5Ctimes%2037.9%7D)
Half-life of the reaction = 9.98 × 10⁻⁵s
Learn more about the rate of reaction, here:
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