At a certain temperature this reaction follows second-order kinetics with a rate constant of : Suppose a vessel contains at a concentration of . Calculate the concentration of in the vessel seconds later. You may assume no other reaction is important. Round your answer to significant digits.

Respuesta :

The question is incomplete, the complete question is:

At a certain temperature this reaction follows second-order kinetics with a rate constant of 14.1[tex]M^{-1}s^{-1}[/tex] :

[tex]2SO_3(g)\rightarrow 2SO_2(g)+O_2(g)[/tex]

Suppose a vessel contains [tex]SO_3[/tex] at a concentration of 1.44 M . Calculate the concentration of

Answer:

The concentration of [tex]SO_3[/tex] in the vessel 0.240 seconds later will be 0.2452 M.

Explanation:

Integrated rate law for second order kinetics is given by:

[tex]\frac{1}{a}=kt+\frac{1}{a_0}[/tex]

k = rate constant

[tex]a_0[/tex] = initial concentration

a = Concentration after time t.

We have :

[tex]2SO_3(g)\rightarrow 2SO_2(g)+O_2(g)[/tex]

Initial concentration [tex]SO_3[/tex] = [tex]a_0=1.44 M[/tex]

Final concentration [tex]SO_3[/tex] at t = a =?

t = 0.240 s

Rate constant of the reaction = k = 14.1[tex]M^{-1}s^{-1}[/tex]

[tex]\frac{1}{a}=14.1 M^{-1}s^{-1}\times 0.240 s+\frac{1}{1.44 M}[/tex]

[tex]a=0.2452 M[/tex]

The concentration of [tex]SO_3[/tex] in the vessel 0.240 seconds later will be 0.2452 M.