Question #69722

Find the percentage ionization of 0.001 M leucine hydrochloride if pKa1= 2.40 pKa2 = 9.60 please show me how to find it?

Expert's answer

Answer on Question#69722 – Chemistry – Organic chemistry

Question: Find the percentage ionization of 0.001 M leucine hydrochloride if pKa1 = 2.40 pKa2 = 9.60 please show me how to find it?

Solution:


H2L+=HL+H+\mathrm{H_2L^+ = HL + H^+}Ka1=10pKa1=3.98×103\mathrm{Ka_1 = 10^{-pKa1} = 3.98 \times 10^{-3}}Ka2=10pKa2=2.5×1010\mathrm{Ka_2 = 10^{-pKa2} = 2.5 \times 10^{-10}}

Ka1>>Ka2\mathrm{Ka_1 >> Ka_2} and the percent ionization is determined just the first stage of ionization.


0.00398=x20.001x0.00398 = \frac{x^2}{0.001 - x}x2=0.00398(0.001x)x^2 = 0.00398(0.001 - x)x2+0.00398x0.00000398=0x^2 + 0.00398x - 0.00000398 = 0x=8.28×104x = 8.28 \times 10^{-4}percent ionization=8.28×1040.001×100%=82.8%\text{percent ionization} = \frac{8.28 \times 10^{-4}}{0.001} \times 100\% = 82.8\%


Answer: 82.8%

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