A common acid in energy drinks is phosphoric acid .a) What is the molarity of a solution containing 0.0000209 mol acid in 750 mL of solution? b) What is the pH of the acid in the drink?

Respuesta :

Explanations:

a) The formula for calculating the molarity of a solution is expressed according to the formula shown below:

[tex]\text{Molarity}=\frac{Moles\text{ of solute}}{Litres\text{ of solution}}[/tex]

Given the following parameters;

Moles of the solution = 0.0000209 mol

Volume of solution = 750mL

Convert the volume to litres

[tex]\begin{gathered} V_s=750mL\times\frac{1l}{1000mL} \\ _{}V_s=\frac{750L}{1000} \\ V_s=0.750L \end{gathered}[/tex]

Get the required molarity using the formula above;

[tex]\begin{gathered} \text{Molarity}=\frac{0.0000209}{0.750} \\ \text{Molarity}=2.787\times10^{-5}M \end{gathered}[/tex]

b) To get the pH of the acid in the drink, we will use the formula;

[tex]\begin{gathered} pH=-\log \lbrack H^+(aq)\rbrack \\ \end{gathered}[/tex]

The expression in the square bracket is the molarity of the solution. Substituting the given molarity into the formula:

[tex]\begin{gathered} pH=-\log \lbrack2.787\times10^{-5}\rbrack \\ pH=-(-4.55) \\ pH\approx4.6 \end{gathered}[/tex]