Copper reacts with silver nitrate through single replacement. If 2.75 g of silver are produced from the reacti?If 2.75 g of silver are produced from the reaction, how many moles of copper(II) nitrate are also produced? How many moles of each reactant are required in this reaction?

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Answer:

[tex]\boxed{\text{0.0128 mol Cu(NO$_{3}$)$_{2}$; 0.0128 mol Cu; 0.0225 mol AgNO$_{3}$}}[/tex]

Explanation:

a) Balanced equation

We know we will need an equation with masses and molar masses, so let’s gather all the information in one place.  

M_r:    63.55    169.87         187.56      107.87

             Cu  +  2AgNO₃ ⟶ Cu(NO₃)₂ + 2Ag

m/g:                                                          2.75

(b) Moles of Cu(NO₃)₂

(i) Calculate the moles of Ag

[tex]n = \text{2.75 g Ag} \times \dfrac{\text{1 mol Ag}}{\text{107.8 g Ag}} = \text{0.025 51 mol Ag}[/tex]

(ii) Calculate the moles of Cu(NO₃)₂

The molar ratio is 1 mol Cu(NO₃)₂:2 mol Ag

[tex]n = \text{0.025 51 mol Ag}\times \dfrac{\text{1 mol Cu(NO$_{3}$)$_{2}$}}{\text{2 mol Ag}} = \boxed{\textbf{0.0128 mol Cu(NO$_{3}$)$_{2}$}}[/tex]

(c) Moles of Cu

The molar ratio is 1 mol Cu:2 mol Ag

[tex]n = \text{0.025 51mol Ag} \times \dfrac{\text{1 mol Cu}}{\text{2 mol Ag}}= \boxed{\textbf{0.0128 mol Cu}}[/tex]

(d) Moles of AgNO₃

The molar ratio is 2 mol Ag:2 mol AgNO₃

[tex]n = \text{0.025 51 mol Ag} \times \dfrac{\text{2 mol AgNO$_{3}$}}{\text{2 mol Ag}}= \boxed{\textbf{0.0255 mol AgNO$_{3}$}}[/tex]