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yawa3891 [41]
2 years ago
3

The label on a bottle of "organic" liquid fertilizer concentrate states that it contains 9.20 grams of phosphate per 100.0 ml an

d that 16.0 fluid ounces should be diluted with water to make 32.0 gallons of fertilizer to be applied to growing plants. What version of the dilution equation can be used to calculate the final phosphate concentration? Express your answer in terms of vi, ci, and vf.
Chemistry
1 answer:
Papessa [141]2 years ago
5 0

The final phosphate concentration is 0.36 g/L.

I would express the <em>concentrations in grams per litre</em> and then use the dilution equation.

<em>V</em>_i = 16 fl oz × (29.57 mL/1 fl oz) = 473 mL

Mass of phosphate = 473 mL × (9.20 g/100.0 mL) = 43.5 g

<em>c_i</em> = 43.5 g/473 mL = 0.0920 g/mL = 92.0 g/L

<em>V</em>_f = 32.0 gal × (3.785 L/1 gal) = 121.1 L

<em>c</em>_i<em>V</em>_i = <em>c</em>_f <em>V</em>_f

<em>c</em>_f = <em>c</em>_i × <em>V</em>_i/<em>V</em>_f = 92.0 g/L × (0.473 L/121.1 L) = 0.36 g/L

The final phosphate concentration is 0.36 g/L.

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2 years ago
If PbI2(s) is dissolved in 1.0MNaI(aq) , is the maximum possible concentration of Pb2+(aq) in the solution greater than, less th
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Answer:

\mathbf{s =\sqrt [3]{\dfrac{K_{sp}}{4}}}

Less than the concentration of Pb2+(aq) in the solution in part ( a )

Explanation:

From the question:

A)

We assume that s to be  the solubility of PbI₂.

The equation of the reaction is given as :

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 [Pb²⁺] =   s

Then [I⁻] = 2s

K_{sp} =\text{[Pb$^{2+}$][I$^{-}$]}^{2} = s\times (2s)^{2} =  4s^{3}\\s^{3} = \dfrac{K_{sp}}{4}\\\\s =\mathbf{ \sqrt [3]{\dfrac{K_{sp}}{4}}}\\\\\text{The mathematical expressionthat can be used to determine the value of  }\mathbf{s =\sqrt [3]{\dfrac{K_{sp}}{4}}}

B)

The Concentration of Pb²⁺  in water is calculated as :

\mathbf{s =\sqrt [3]{\dfrac{K_{sp}}{4}}}

\mathbf{s =\sqrt [3]{\dfrac{7*10^{-9}}{4}}}

\mathbf{s} =\sqrt[3]{1.75*10^{-9}}

\mathbf{s} =\mathbf{1.21*10^{-3}  \ mol/L }

The Concentration of Pb²⁺  in 1.0 mol·L⁻¹ NaI

\mathbf{PbCl{_2}}  \leftrightharpoons    \ \ \ \ \ \ \  \mathbf{Pb^{2+}}   \ \ \ \  \ +   \ \  \ \ \ \ \ \mathbf{2 I^-}

                             \ \ \ \ \ \ \  \ \   \ \  \ \ \ \ \ \ \  \mathbf0}   \ \ \ \  \ \ \ \ \ \   \ \ \ \ \ \mathbf{1.0}

                            \ \ \ \ \ \ \ \ \ \ \ \ \ \    \ \ \ \ \  \mathbf{+x}   \ \ \ \  \    \ \  \ \ \ \ \ \mathbf{+2x}

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The equilibrium constant:

K_{sp} =[Pb^{2+}}][I^-]^2 \\ \\ K_{sp} = s*(1.0*2s)^2 =7*1.0^{-9} \\ \\ s = 7*10^{-9} \ \  m/L

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