pH of acids, bases and salts

Exercise 3

   

Calculate the $pH$ of a 0.3333 % ($d$ = 1) nitric acid solution named $S$

Strong acid If $d$ = 1, then $\rho$ = 1 $\frac{g}{mL}$ Let's take $1\;L$ of solution $S$: $m_S$ $=$ $\rho \cdot V_S$ $ =$ $ \rho \cdot 1000 $ = 1000 g $m_{HNO_3}$ = $\frac{\%_{HNO_3}\cdot m_S}{100} $ = $\frac{0.3333 \cdot1000}{100} $ = 3.33$\; g$; $n_{HNO_3}=\frac{m_{HNO_3}}{M_{HNO_3}}$ = $\frac{3.33}{63.01}$ = 0.053$\; mol$ $c_{HNO_3}$ = $\frac{n_{HNO_3}}{V_S}$ = $\frac{0.053}{1}$ = 0.053 $\frac{mol}{L}$ $pH$ $=$ $-log\;c_{HNO_3}$ = $-log \;$0.053 = 1.277