Answer: The concentration of KOH for the final solution is 0.275 M
Explanation:
Molarity of a solution is defined as the number of moles of solute dissolved per Liter of the solution.
![Molarity=\frac{n\times 1000}{V_s}](https://tex.z-dn.net/?f=Molarity%3D%5Cfrac%7Bn%5Ctimes%201000%7D%7BV_s%7D)
where,
n = moles of solute
= volume of solution in ml = 150 ml
moles of solute =![\frac{\text {given mass}}{\text {molar mass}}=\frac{10.0g}{56g/mol}=0.178moles](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%20%7Bgiven%20mass%7D%7D%7B%5Ctext%20%7Bmolar%20mass%7D%7D%3D%5Cfrac%7B10.0g%7D%7B56g%2Fmol%7D%3D0.178moles)
Now put all the given values in the formula of molality, we get
![Molality=\frac{0.178\times 1000}{150}=1.19M](https://tex.z-dn.net/?f=Molality%3D%5Cfrac%7B0.178%5Ctimes%201000%7D%7B150%7D%3D1.19M)
According to the dilution law,
![C_1V_1=C_2V_2](https://tex.z-dn.net/?f=C_1V_1%3DC_2V_2)
where,
= molarity of stock solution = 1.19 M
= volume of stock solution = 15.0 ml
= molarity of diluted solution = ?
= volume of diluted solution = 65.0 ml
Putting in the values we get:
![1.19\times 15.0=M_2\times 65.0](https://tex.z-dn.net/?f=1.19%5Ctimes%2015.0%3DM_2%5Ctimes%2065.0)
![M_1=0.275M](https://tex.z-dn.net/?f=M_1%3D0.275M)
Therefore, the concentration of KOH for the final solution is 0.275 M
Friction. It transforms other forms of energy into thermal energy
Complete Question
You determine that it takes 26.0 mL of base to neutralize a sample of your unknown acid solution. The pH of the solution was 7.82 when exactly 13 mL of base had been added, you notice that the concentration of the unknown acid was 0.1 M. What is the pKa of your unknown acid?
Answer:
The pK_a value is
Explanation:
From the question we are told
The volume of base is ![V_B = 26.mL = 0.0260L](https://tex.z-dn.net/?f=V_B%20%3D%2026.mL%20%3D%200.0260L)
The pH of solution is ![pH = 7.82](https://tex.z-dn.net/?f=pH%20%3D%20%207.82)
The concentration of the acid is ![C_A = 0.1M](https://tex.z-dn.net/?f=C_A%20%3D%200.1M)
From the pH we can see that the titration is between a strong base and a weak acid
Let assume that the the volume of acid is ![V_A = 18mL= 0.018L](https://tex.z-dn.net/?f=V_A%20%3D%2018mL%3D%200.018L)
Generally the concentration of base
![C_B = \frac{C_AV_A}{C_B}](https://tex.z-dn.net/?f=C_B%20%3D%20%5Cfrac%7BC_AV_A%7D%7BC_B%7D)
Substituting value
![C_B = \frac{0.1 * 0.01800}{0.0260}](https://tex.z-dn.net/?f=C_B%20%3D%20%5Cfrac%7B0.1%20%2A%200.01800%7D%7B0.0260%7D)
![C_B= 0.0692M](https://tex.z-dn.net/?f=C_B%3D%200.0692M)
When 13mL of the base is added a buffer is formed
The chemical equation of the reaction is
![HA_{(aq)} + OH^-_{(aq)} --------> A^{+}_{(aq)} + H_2 O_{(l)}](https://tex.z-dn.net/?f=HA_%7B%28aq%29%7D%20%2B%20OH%5E-_%7B%28aq%29%7D%20--------%3E%20A%5E%7B%2B%7D_%7B%28aq%29%7D%20%2B%20H_2%20O_%7B%28l%29%7D)
Now before the reaction the number of mole of base is
![No \ of \ moles[N_B] = C_B * V_B](https://tex.z-dn.net/?f=No%20%5C%20of%20%5C%20moles%5BN_B%5D%20%20%3D%20%20C_B%20%2A%20V_B)
Substituting value
![N_B = 0.01300 * 0.0692](https://tex.z-dn.net/?f=N_B%20%3D%200.01300%20%2A%200.0692)
Now before the reaction the number of mole of acid is
![No \ of \ moles = C_B * V_B](https://tex.z-dn.net/?f=No%20%5C%20of%20%5C%20moles%20%20%3D%20%20C_B%20%2A%20V_B)
Substituting value
![N_A = 0.01800 *0.1](https://tex.z-dn.net/?f=N_A%20%3D%200.01800%20%2A0.1)
![= 0.001800 \ moles](https://tex.z-dn.net/?f=%3D%200.001800%20%5C%20moles)
Now after the reaction the number of moles of base is zero i.e has been used up
this mathematically represented as
![N_B ' = N_B - N_B = 0](https://tex.z-dn.net/?f=N_B%20%27%20%3D%20N_B%20-%20N_B%20%3D%200)
The number of moles of acid is
![N_A ' = N_A - N_B](https://tex.z-dn.net/?f=N_A%20%27%20%3D%20N_A%20%20-%20N_B)
![= 0.0009\ moles](https://tex.z-dn.net/?f=%3D%200.0009%5C%20moles)
The pH of this reaction can be mathematically represented as
![pH = pK_a + log \frac{[base]}{[acid]}](https://tex.z-dn.net/?f=pH%20%20%3D%20pK_a%20%2B%20log%20%5Cfrac%7B%5Bbase%5D%7D%7B%5Bacid%5D%7D)
Substituting values
![7.82 = pK_a +log \frac{0.0009}{0.0009}](https://tex.z-dn.net/?f=7.82%20%3D%20pK_a%20%2Blog%20%5Cfrac%7B0.0009%7D%7B0.0009%7D)
Answer:
The mass of potassium required to produce a known mass of potassium chloride
Explanation:
Stoichiometry deals with the relationship between amount of substances, mass of substances or volume of substances required in a chemical reaction. Stoichiometric relationships may involve reactants alone or reactants and products. These relationships are normally in the form of simple proportion.
A typical example is our answer option, the mass of potassium required could be used to determine the mass of potassium chloride produced after a balanced reaction equation is written.