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$pH$ of strong bases

Tutorial 8

        

Calculate the pH of a $ 20 \%$ solution of the strong base $ NaOH $ (density of the solution = 1.22): What is the mass density of this solution ?

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$\rho$ $=$ $1.22\frac{g}{mL}$

Calculate the mass of one liter of this solution!

$ m_{1L \; of \; solution} $ $ = $ $ 1.22 \cdot 1000 $ $ = $ $ 1220 \; g $

Calculate the mass of $ NaOH $ in one liter of this solution!

$m_{NaOH}$ $= $ $\frac{20\cdot 1220}{100}$ $=$ $244\;g$

Calculate the number of moles of $ NaOH $ in one liter of this solution! What is the molarity of $OH^-$ ?

$n_{NaOH}$ $= $ $\frac{244}{40}$ $=$ $6.10\;mol$ $[OH^-]$ $=$ $6.10\frac{mol}{L}$

Calculate the pH!

$pH$ $= $ $14+log[OH^-]$ $=$ $14.8$