For zero order reaction relation between t 1 by 2 and t 1 by 4?

To determine the relationship between t1/2 (half-life) and t1/4 (quarter-life) for a zero-order reaction, we need to understand the concept of reaction order.

In a zero-order reaction, the rate of the reaction is independent of the concentration of the reactant. This means that the rate equation can be expressed as:

Rate = k

Where k is the rate constant.

The half-life of a reaction is the time it takes for the concentration of the reactant to decrease by half. Mathematically, it can be represented as:

t1/2 = 0.693 / k

Similarly, the quarter-life of a reaction is the time it takes for the concentration of the reactant to decrease by one-fourth. Mathematically, it can be represented as:

t1/4 = 0.693 / (2 * k)

To find the relationship between t1/2 and t1/4, we can divide the equation for t1/4 by the equation for t1/2:

t1/4 / t1/2 = (0.693 / (2 * k)) / (0.693 / k)

Simplifying this expression, we get:

t1/4 / t1/2 = 1/2

Therefore, the relationship between t1/2 and t1/4 for a zero-order reaction is that t1/4 is half of t1/2.