Theory of acids and bases

pH of acids

Exercise 19

    

 

You dispose of a $0.200\;M$ solution of $H_3C_6H_5O_7$ (citric acid, $K_a$ $=$ $3.5\cdot 10^{-4}$) Equilibrium of hydrolysis: $H_3C_6H_5O_7$ $+$ $H_2O$ $H_3O^+$ $+$ $H_2C_6H_5O_7^-$

Substitute now the equilibrium concentration in $K_a$ ! Which of the following substitutions is correct?

a) $3.5 \cdot 10^{-4}$ $ = $ $\frac{x(0.200-x)}{ x^2}$ b) $3.5 \cdot 10^{-4}$ $ =$ $ \frac{0.200-x }{ x^2}$ c) $3.5 \cdot 10^{-4}$ $ =$ $ \frac{x^2 }{ 0.200-x}$ d) $3.5 \cdot 10^{-4}$ $ =$ $ \frac{x^2 }{ x(0.200-x)}$

The answer c) is correct, $3.5 \cdot 10^{-4}$ $ =$ $\frac{x^2 }{ 0.200-x}$