Question #285064

Ascorbic acid is a diprotic acid (Ka1 6.9x10-5) and (ka2 = 2.7x10-12). What is the pH of

a solution that contains 5.0 mg of acid per milliter solution.


1
Expert's answer
2022-01-06T22:03:01-0500

Molar mass of ascorbic acid =176.12g=176.12g

Concentration=5×103176.12×103=\frac {5×10^{-3}}{176.12}×10^3


=0.02839M=0.02839M



ka1ka2ka_1\ggg\>ka_2


    \implies First dissociation produces virtually all of H3O+H_3O^+


H2C6H6O6(aq)+H2O(l)HC6H6O6(aq)+H3O+(aq)H_2C_6H_6O_{6(aq)}+H_2O_{(l)}\rightleftharpoons HC_6H_6O_6^-(aq)+H_3O^+(aq)





ICEH2C6H6O6HC6H6O6H3O+I0.0283900CxxxE0.02839xxx\begin{matrix} ICE&H_2C_6H_6O_6&HC_6H_6O_6^-&H_3O^+\\ I&0.02839&0&0 \\ C&-x&x&x\\ E&0.02839-x&x&x \end{matrix}




6.9×105=(x)(x)(0.02839x)x0.028396.9×10^{-5}=\frac{(x)(x)}{(0.02839-x)}\>\>\>x\lll0.02839


x2=1.959×106\therefore\>x^2=1.959×10^{-6}

x=1.4×103x=1.4×10^{-3}



PH=PH=- log (1.4×103)(1.4×10^{-3})


=2.854=2.854






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