A first-order reaction has a rate constant of 0.241/min. If the initial concentration of A is 0.859 M, what is the concentration of A after 10.0 minutes? 0.0772 M 0.00334 M 0.736 M 0.280 M

Respuesta :

Answer:

option A.

Explanation:

given,

rate constant. k = 0.241/min

[A_0] = 0.859 M

[A_t] = ?

t = 10 minutes.

using first order reaction formula

[tex]k=\dfrac{2.303}{t}log(\dfrac{[A_0]}{[A_t]})[/tex]

[tex]0.241=\dfrac{2.303}{10}log(\dfrac{[0.859]}{[A_t]})[/tex]

[tex]log(\dfrac{[0.859]}{[A_t]}) = 1.0464[/tex]

[tex]\dfrac{[0.859]}{[A_t]} = 11.129[/tex]

[tex][A_t]=\dfrac{0.859}{11.129}[/tex]

[tex][A_t]=0.0772\ M[/tex]

the concentration of A after 10 minutes is equal to 0.0772 M.

Hence, the correct answer is option A.