jennythyhuynh863
jennythyhuynh863 jennythyhuynh863
  • 15-07-2020
  • Chemistry
contestada

The reaction 2A -> B is first order in A with a rate constant of 8.42 x 10-2 s-1 at 800oC. How long it will take for A to decrease from 5.00 M to 0.153 M?

Respuesta :

dsdrajlin
dsdrajlin dsdrajlin
  • 21-07-2020

Answer:

41.4 s

Explanation:

Given data

  • Rate constant (k): 8.42 × 10⁻² s⁻¹ at 800 °C
  • Initial concentration of A ([A]₀): 5.00 M
  • Concentration of A at a time t ([A]): 0.153 M

Let's consider the following reaction of first order with respect to A.

2 A ⇒ B

We can find the time that it will take for A to decrease from 5.00 M to 0.153 M using the following expression.

[tex]ln([A]/[A]_0)=-k.t\\ln(0.153M/5.00M)=-8.42 \times 10^{-2}s^{-1} .t\\t = 41.4 s[/tex]

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