A solution is made by adding 0.350 g Ca(OH)2(s), 45.0 mL of 1.00 M HNO3, and enough water to make a final volume of 75.0 mL. Assuming that all of the solid dissolves, what is the pH of the final solution?

Respuesta :

Answer:

0.323

Explanation:

number of moles of Ca(OH)2(s) = mass given / molar mass = 0.350 g / 74.093 g/mol = 0.00472 mol

number of mole of HNO3 = Molarity × volume in Liters = 1.0  × (45 / 1000) = 0.045 M

Ca(OH)2(s) + 2 HNO3(aq) → Ca(NO₃)₂(aq) + 2 H₂O(I)

1 mole of calcium hydroxide react with 2 mole of trioxonitrate(V)

0.00472 mole will require 0.00945 mole

but we have 0.045 mole of the acid

net mole = 0.045 - 0.00945 = 0.0356 mole

Molarity of the net mole = 0.0356 / (75/1000) = 0.475 M

pH = - log (0.475) = 0.323

The pH of the final solution is 0.323

Calculation for number of moles:

[tex]\text{ Number of moles of } Ca(OH)_2(s) = \frac{\text{Given mass}}{\text{Molar mass} }\\\\\text{ Number of moles of } Ca(OH)_2(s) = \frac{0.350g}{74.093g/mol}\\\\\text{ Number of moles of } Ca(OH)_2(s) = 0.00472 mol[/tex]

Number of mole of HNO₃ = Molarity × volume in Liters

Number of mole of HNO₃= [tex]1.0 * (45 / 1000) = 0.045 M[/tex]

From the chemical reaction:

Ca(OH)₂(s) + 2 HNO3(aq) → Ca(NO₃)₂(aq) + 2 H₂O(I)

1 mole of calcium hydroxide react with 2 mole of trioxonitrate(V)

0.00472 mole will require 0.00945 mole

There are 0.045 mole of the acid

Thus, Net mole = 0.045 - 0.00945 = 0.0356 mole

Molarity of the net mole = [tex]0.0356 * (75/1000) = 0.475 M[/tex]

Calculation of pH:

[tex]pH = - log (0.475)\\\\ pH= 0.323[/tex]

Thus, the pH of the final solution is 0.323.

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