Question

The hypothetical elementary reaction 2A → B + C has a rate constant of 10⁻⁶ M⁻¹ • s⁻¹.

What is the reaction velocity when the concentration of A is 10mM?

Answer 1

The reaction velocity of the hypothetical elementary reaction 2A → B + C can be calculated using the rate constant and the concentration of A. In this case, the rate constant is 10⁻⁶ M⁻¹•s⁻¹ and the concentration of A is 10mM. By plugging these values into the formula, we find that the reaction velocity is 10⁻¹¹ M•s⁻¹.

Step-by-step explanation:

The reaction velocity of a hypothetical elementary reaction 2A → B + C can be calculated using the rate constant and the concentration of A. In this case, the rate constant is given as 10⁻⁶ M⁻¹·s⁻¹ and the concentration of A is 10 mM.

Given that the reaction is second-order in A, the rate of the reaction can be calculated using the rate law rate = k[A]², where [A] is the concentration of reactant A. To calculate the reaction velocity, we can use the formula:

Reaction Velocity = Rate Constant × [A]2

Plugging in the values, we get:

Reaction Velocity = 10⁻⁶ M⁻¹·s⁻¹ × (10 × 10-3)2 = 10⁻⁶ M⁻¹·s⁻¹ × 10⁻⁵ M² = 10⁻¹¹ M·s⁻¹.