The equilibrium constant K₁ = Equilbrium constant K₂.
The equilibrium constant, K, of a reaction, is defined as:
"The ratio between concentration of products powered to their reaction quotient and concentration of reactants powered to thier reaction quotient".
For the reaction:
aA + bB ⇄ cC + dD
The equilibrium constant, K, is:
![K = \frac{[C]^c[D]^d}{[A]^a[B]^b}](https://tex.z-dn.net/?f=K%20%3D%20%5Cfrac%7B%5BC%5D%5Ec%5BD%5D%5Ed%7D%7B%5BA%5D%5Ea%5BB%5D%5Eb%7D)
Now, assuming the reaction of the problem is 1:1:
A + B ⇄ C + D
![K = \frac{[C][D]}{[A][B]}](https://tex.z-dn.net/?f=K%20%3D%20%5Cfrac%7B%5BC%5D%5BD%5D%7D%7B%5BA%5D%5BB%5D%7D)
The concentrations of the reactants are directly proportional to the volume added. Thus, we can assume that concentration = Volume. Replacing for K₁ and K₂:
![K_1 = \frac{[C][D]}{[10mL][10mL]} = K_1 = \frac{[C][D]}{100mL^2}](https://tex.z-dn.net/?f=K_1%20%3D%20%5Cfrac%7B%5BC%5D%5BD%5D%7D%7B%5B10mL%5D%5B10mL%5D%7D%20%3D%20K_1%20%3D%20%5Cfrac%7B%5BC%5D%5BD%5D%7D%7B100mL%5E2%7D)
In the same way:
![K_2 = \frac{[C][D]}{[1mL][100mL]} = K_2 = \frac{[C][D]}{100mL^2}](https://tex.z-dn.net/?f=K_2%20%3D%20%5Cfrac%7B%5BC%5D%5BD%5D%7D%7B%5B1mL%5D%5B100mL%5D%7D%20%3D%20K_2%20%3D%20%5Cfrac%7B%5BC%5D%5BD%5D%7D%7B100mL%5E2%7D)
Thus, we can say:
<h3>K₁ = K₂</h3><h3 />
Learn more about chemical equilibrium in:
brainly.com/question/4289021?referrer=searchResults