- Edited
Bibliii
Hey Bibliii,
I think QCE does it a different way so here are the solutions to all three questions in "QCE" terms (correct me if I'm wrong):
16. KOH -> K+ + OH-
So, as @God stated, there is a 1:1 molar ratio so [OH-] = [KOH] = 6.50 x 10^-3 M
Since pOH = -log[OH-] = -log(6.50 x 10^-3 M) = 2.19
So, to find pH = 14 - pOH = 14 - 2.19 = 11.81
17. HCN -> H+ + CN-
Ka = [H+][CN-]/[HCN] = 6.2 x 10^-10 (pKa is just -log(Ka))
[H+][CN-]/[HCN] = (x)(x)/(0.227 - x) = 6.2 x 10^-10 and we usually assume x to be quite small so we take it as negligible (or we can calculate it with it but there's no point of wasting time for it).
Thus, x2/0.227 M = 6.2 x 10^-10
x2 = 1.407*10^-10
x = 1.19 x 10^-5
[H+] = 1.19 x 10^-5
pH = -log[H+] = -log(1.19 x 10^-5) = 4.93
18. The molar mass of Na2CO3 = 105.99 (you can calculate this through the periodic table but I searched it up from Google because I was lazy).
So since the number of moles (n) = mass/molar mass, the number of moles (n) of Na2CO3 = 31.8 g/105.99 g mol^-1 = 0.30 mol
This means concentration (c) = n/V = 0.30 mol/0.5 L = 0.60 M (concentration of Na2CO3 in 500 mL solution).
The dilution factor is 10 because it is from 5 mL solution into 50 mL (this can also be worked out from C1V1=C2V2) so this means the concentration of Na2CO3 in 50 mL solution = 0.06 M.
For the titration part, your best friend is C1V1=C2V2 so all you have to do is sub in all the values. The LHS will be the base part (Na2CO3) and the RHS is the acid part (H2SO4).
C1V1=C2V2
0.06 M x 50 mL = C2 x 16.8 mL (you should convert all mL->L like in the concentration calculation at the start but I ignored it here because it would be the same answer).
C2 = 0.06 x 50 / 16.8 = 0.18 M
Therefore, the concentration of H2SO4 is 0.18 M.
Make sure to always write the reaction equation at the start of the question - that's very important. This is how I was taught to calculate when I did QCE but anyone, let me know if anything's wrong because it's been a while. Hope that helps!
- PP