For a certain reaction involving a single reactant, it is found that C_0 * √(T) is constant, where C_0 is the initial concentration of the reactant and T is the half-life. What is the order of the rea

Question

For a certain reaction involving a single reactant, it is found that C_0 * √(T) is constant, where C_0 is the initial concentration of the reactant and T is the half-life. What is the order of the reaction?

Prashant Kotian · Accepted Answer

Correct answer: D. Given that C_0 * √(T) is constant => √(T) ∝ 1/C_0 => T ∝ C_0^-2. We know that for an n-th order reaction, the half-life t_1/2 is related to initial concentration C_0 by t_1/2 ∝ C_0^(1-n). Comparing the powers of C_0: 1-n = -2 => n = 3. Hence, the order of the reaction is 3.

💡 Solution & Explanation

Practice 22,000+ questions like this