A first-order reaction (A → B) has a half-life of 25 minutes. If the initial concentration of A is 0.900 M, what is the concentration of B after 50 minutes?

0.6749 M is the concentration of B after 50 minutes.

Explanation:

A → B

Half life of the reaction =

Rate constant of the reaction = k

For first order reaction, half life and half life are related by:

Initial concentration of A =

Final concentration of A after 50 minutes =

t = 50 minute

[A] = 0.2251 M

The concentration of A after 50 minutes = 0.2251 M

The concentration of B after 50 minutes = 0.900 M - 0.2251 M = 0.6749 M

0.6749 M is the concentration of B after 50 minutes.

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