Can you help me with 9 and 14, Please. Find the pH. What are the plh va solution
ID: 537874 • Letter: C
Question
Can you help me with 9 and 14, Please.
Explanation / Answer
9) Here, we need to find out the concentration. We will find it in terms of Molarity. Molarity is mole of solute over Liter of solution. In this case, we have no solute, we only have solvent water, so we make assumptions
Let's consider Volume = 1000 mL
We are given Density = 1g/ mL,
So for 1000 mL, our mass will be 1000g
Now,
mole=mass/molecular wt
mole=1000g/ 18g per mL
mole=55.56
Molarity=mol/L solution
M=55.56/1L
M=55.56M
14) We know, acid dissociation constant of acetic acid is Ka=1.76*105
So, pKa=log(Ka) = 4.754
pH= 5
pH= -log[H+]
So, [H+] = 1*10-5
We are given 0.1mM buffer solution = 0.0001 M
100 mL solution is diluted to 1 L solution.
Initially Before Dilution
Using Henderson-Hasselbalch equation equation:
pH = pKa + log([conjugate base]/[weak acid])
[conjugate base] = x
[weak acid] = 0.1 - x (since buffer is 0.1 mM)
So, 5= 4.754 + log [x/(0.1-x)]
[x/(0.1-x)] = 1.761
Solving, we get
x = 0.0637 mM
0.1-x = 0.0363 mM
[conjugate base], [A-] = 0.0000637 M
[weak acid], [HA] = 0.0000363 M
[H+] = 0.00001
Now Dilute to 1/10 concentration
[HA] = 0.00000363
[A-] = 0.00000637
[H+] = 0.000001
Note that the pH is now 6
Q = [A-][H+]/[HA] = 0.000001754 which is less than Ka = 10-4.75 =0.000017783
So equilibrium must shift away from HA and towards A- and H+
Now setting up simple equilibrium ICE table problem
HA <=> A- + H+
( 0.000001 +x)*(0.00000637 + x)/(0.00000363 - x)=10-4.75
Solve for x, x=2.1106*10-6
0.000001 + 2.1106*10-6 = 0.000003111
-log(0.00003111) = 5.51 (approx due to rounding up in the numerical)
so, pH is 5.51.
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