The rate constant of a reaction : 8.3 x 10⁻⁴
<h3>Further explanation</h3>
Given
rate = 1 x 10⁻² (mol/L)/s, [A] is 2 M, [B] is 3 M, m = 2, and n = 1
Required
the rate constant
Solution
For aA + bB ⇒ C + D
Reaction rate can be formulated:
![\large{\boxed{\boxed{\bold{r~=~k.[A]^a[B]^b}}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cboxed%7B%5Cboxed%7B%5Cbold%7Br~%3D~k.%5BA%5D%5Ea%5BB%5D%5Eb%7D%7D%7D)
the rate constant : k =
![\tt k=\dfrac{rate}{[A]^m[B]^n}\\\\k=\dfrac{1.10^{-2}}{2^2\times 3^1}\\\\k=8.3\times 10^{-4}](https://tex.z-dn.net/?f=%5Ctt%20k%3D%5Cdfrac%7Brate%7D%7B%5BA%5D%5Em%5BB%5D%5En%7D%5C%5C%5C%5Ck%3D%5Cdfrac%7B1.10%5E%7B-2%7D%7D%7B2%5E2%5Ctimes%203%5E1%7D%5C%5C%5C%5Ck%3D8.3%5Ctimes%2010%5E%7B-4%7D)
Answer:
Kb = 

Explanation:
For a weak organic base, the formula to find
is given by:

where c is the concentration of base.
Here c= 

Substituting the above values in the formula,we get:

Hence:
Kb = 

I guess it is the second one but you missed the state symbols.
So we just need to do some conversions. We can convert gallons (gal)---> liters (L) just using a few conversion factors and some simple stoichiometry.
Here are the conversion factors:
1 gal= 3.78541 L
Here is how to do the problem:
12 gal x 3.78541 L/1 gal = 45.4249 L
The final answer with significant figures (there are two significant figures) is:
45 L