Respuesta :
rate = k * [A]^2 * [B]^1
Use the data from any trial to calculate k.
k = (rate)/([A]^2 * [B]^1)
E.g., for Trial 1, we have
rate = 3.0×10−3 M/s
[A] = 0.50 M
[B] = 0.010 M
Plug those numbers in and crank out the answer.
Now with the calculated value of k, calculate the initial rate for [A] = 0.50 M and [B] = 0.075 M
rate = k * [A]^2 * [B]^1
k = calculated value
[A] = 0.50 M
[B] = 0.075 M
Use the data from any trial to calculate k.
k = (rate)/([A]^2 * [B]^1)
E.g., for Trial 1, we have
rate = 3.0×10−3 M/s
[A] = 0.50 M
[B] = 0.010 M
Plug those numbers in and crank out the answer.
Now with the calculated value of k, calculate the initial rate for [A] = 0.50 M and [B] = 0.075 M
rate = k * [A]^2 * [B]^1
k = calculated value
[A] = 0.50 M
[B] = 0.075 M
The initial rate for the formation of C at 25°C, if [A]=0.50M and [B]=0.075M is 0.022 M/s
Further explanation
Calculate the initial rate for the formation of C at 25°C, if [A]=0.50M and [B]=0.075M. Express your answer to two significant figures and include the appropriate units. Consider the reaction
A+2B → C
whose rate at 25°C was measured using three different sets of initial concentrations as listed in the following table:
Trial [A] [B] Rate
(M) (M) (M/s)
1 0.20 0.030 1.4 x 10 - 3
2 0.20 0.060 2.9 x 10 - 3
3 0.40 0.030 5.8 x 10 - 3
[tex]rate = k[A]^x[B]^y[/tex]
We will take a look on 1st and 3rd data.
[tex][A]^x \\ \frac{5.8*10^-3 }{1.4*10^-3} = \frac{ 0.40}{0.20^x} \\4.14 = 2^x\\log (4.14) = x log 2\\x = 2\\[/tex]
[tex][B]^y\\ \frac{2.9*10^-3}{1.4*10^-3} = \frac{0.060}{0.030^y} \\2.07 = 2^y\\y = 1\\[/tex]
because
[tex]log (2.07) = y log (2)\\y= 1[/tex]
[tex]1.4*10^-3 = k[0.20]^2[0.030]^1\\1.4*10^-3 = k[0.0012]\\k = 1.7[/tex]
[tex]k[/tex] have units of [tex]M^{-n+1}* s^{-1}[/tex]
so
[tex]k = 1.7 M^{-3+1}* s^{-1}\\k = 1.7 M^{-2}* s^{-1}\\Rate = k[A]^2[B]\\Rate = 1.7 M^{-2}* s^{-1}[0.50]^2[0.075]\\Rate = 0.022 M* s^{-1}[/tex](2 significant values)
Learn more
- Learn more about units https://brainly.com/question/1205588
- Learn more about the initial rate https://brainly.com/question/1503519
- Learn more about two significant figures https://brainly.com/question/12445529
Answer details
Grade: 9
Subject: chemistry
Chapter: chemical kinetics
Keywords: the initial rate, formation, c, time, M
