The rate constant for the reaction H^+ + OH^- right arrow H2O is 1.3 times 10^11...

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The rate constant for the reaction H^+ + OH^- righ

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Answer 1

Answer #1

Given reaction H⁺ + OH^- -----------> H₂O

rate constant k = 1.3 x 10¹¹ dm³ mol^-1 s^-1 = 1.3 x 10¹¹ L mol^-1 s^-1 ( 1dm³ = 1L)

The given reaction is 2^nd order reaction because units for rate constant of 2^nd order reaction = L mol^-1 s^-1

Let us assume a 2^nd order reaction, A + B ------------> P

If initial concentrations of A and B are same, expression for half-life is

half-life = 1/(k[A_o]) where Ao = initial concentration of A

(a) [H+] = [OH-] = 10^-1 M = 10^-1 mol L^-1

[Ao] = 10^-1 mol L^-1

Hence, half-life = 1/(k[A_o])

= 1/ (1.3 x 10¹¹ L mol^-1 s^-1 x 10^-1 mol L^-1)

= 0.77 x 10^-10 s

Therefore, half-life = 0.77 x 10^-10 s

b) [H+] = [OH-] = 10^-1 M = 10^-1 mol L^-1

[Ao] = 10^-1 mol L^-1

Hence, half-life = 1/(k[A_o])

= 1/ (1.3 x 10¹¹ L mol^-1 s^-1 x 10^-1 mol L^-1)

= 0.77 x 10^-10 s

Therefore, half-life = 0.77 x 10^-10 s

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Answer 2

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The rate constant for the reaction H^+ + OH^- right arrow H2O is 1.3 times 10^11...

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