Respuesta :
The resulting pH when 8.75 g of Ca(CH₃CH₂COO)₂ dissolves in enough water to give 0.500 L of solution.
The pH of the solution is = 9.08
What is pH value:
Historically denoting "potential of hydrogen," is a scale used to specify the acidity or basicity of an aqueous solution. Acidic solutions have lower pH values than basic or alkaline solutions.
According to the given information:
To determine the initial concentration of propionate anions in solution, use the following formula:
[tex]\left[\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{COO}^{-}\right]=\frac{\frac{17.5 \mathrm{~g}}{186.22 \mathrm{gmol}^{-1}}}{0.500 \mathrm{~L}}=0.188 \mathrm{M}[/tex]
At equilibrium: The equilibrium equation becomes
[tex]K b=\frac{x^2}{0.188-x}[/tex]
Using the small x approximation to solve for x:
[tex]\begin{gathered}K b=\frac{1.0 \times 10^{-14}}{1.3 \times 10^{-5}} \\K b=7.69 \times 10^{-10} \\7.69 \times 10^{-10}=\frac{x^2}{0.188} \\x=\sqrt{\left(7.69 \times 10^{-10}\right)(0.188)} \\x=\left[O H^{-}\right]=1.20 \times 10^{-5}\end{gathered}[/tex]
Verifying the approximation:
[tex]\frac{1.20 \times 10^{-5}}{0.188} \times 100 \%=6.38 \times 10^{-3} \%[/tex]
The approximation is correct because the value is less than 5%.
Calculating pH:
[tex]p O H=-\log 1.20 \times 10^{-5}[/tex]
pOH=4.92
pH=14−4.92
pH=9.08
The pH of the solution is = 9.08
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