Chemistry
posted by Kevin on .
so i had to calculate the pH of a 100ml solution of .10M acetic acid (ka=1.8x10(5) I came out to 2.87. But then, they want the pH if 50ml HCL is added. So i thought...Ka = x2/.15M, therefore the square root of .15M x 1.8x10(5) = .00164(concentration). So log(.00164) = 2.78. Can you verify this, or tell me where i went wrong?

2.87 for pH of 0.1M HAc is right.
For HCl + HAc first, what is the concn of the HCl added? If we assume it is 0.1M (and it may not be that at all but you can adjust).
(HAc) = 0.1M x (100/150) = 0.0667
(H^+) = x from HAc and 0.0333 from HCl (that is 50 mL x 0.1M diluted to 150 mL or 0.1 x 50/150 = 0.0333M).
(Ac^) = x
Ka = (H^+)(Ac^)/(HAc)
1.8E5 = (x+0.0333)(x)/(0.0667x)
I solved this and x is negligible compared to 0.0333 or 0.0667 so pH is determined by the HCl so (H^+) = 0.0333 and get pH from that or about 1.5 or so.