Respuesta :

Answer: The pH of the solution is 1.41

Explanation:

To calculate the molarity of solution, we use the equation:

[tex]\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}[/tex]

Given mass of perchloric acid = 581.1 mg = 0.5811 g   (Conversion factor:  1 g = 1000 mg)

Molar mass of perchloric acid = 100.5 g/mol

Volume of solution = 150 mL

Putting values in above equation, we get:

[tex]\text{Molarity of perchloric acid}=\frac{0.5811\times 1000}{100.5\times 150}\\\\\text{Molarity of perchloric acid}=0.0385M[/tex]

1 mole of perchloric acid produces 1 mole of [tex]H^+[/tex] ions and 1 mole of [tex]ClO_4^-[/tex] ions

To calculate the pH of the solution, we use the equation:

[tex]pH=-\log[H^+][/tex]

We are given:

[tex][H^+]=0.0385M[/tex]

Putting values in above equation, we get:

[tex]pH=-\log (0.0385)=1.41[/tex]

Hence, the pH of the solution is 1.41

The pH of the solution is 1.41 . The Molarity of the solution can be calculated and then pH can be determined.

Calculation of Molarity:

Molarity of solution= Number of moles of solute / Volume of solution in (L)

Given:

Mass of perchloric acid = 581.1 mg = 0.5811 g   (Conversion factor:  1 g = 1000 mg)

Molar mass of perchloric acid = 100.5 g/mol

Volume of solution = 150 mL

Putting values in the above equation, we get:

Molarity of solution = 0.5811 * 1000 / 100.5 * 150

Molarity of solution= 0.0385 M

1 mole of perchloric acid produces 1 mole of H+ ions and 1 mole of ClO4-  ions

Calculation of pH of the solution:

pH = -log[H+]

[H+]=0.0385 M

Putting values in above equation, we get:

pH= -log (0.0385)

pH = 1.41

Hence, the pH of the solution is 1.41.

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