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Five grams of copper metal react with a solution containing twenty grams of silver nitrate to produce copper (II) nitrate and silver.
a. What is the limiting reactant?
b. How much of the limiting reactant would be needed to react completely with the given amount of excess reactant?

Respuesta :

Answer:

a. AgNO₃ is limiting reactant

b. 26.7g of AgNO₃ would be needed

Explanation:

Based on the reaction:

Cu(s) + 2AgNO₃ → 2Ag(s) + Cu(NO₃)₂

1 mole of Cu reacts with 2 moles of AgNO₃

To find limiting reactant we need to convert mass of each reactant to moles using molar mass:

Moles Cu: Molar mass: 63.546g/mol:

5g * (1mol / 63.546g) = 0.0787moles of Cu

Moles AgNO₃: Molar mass: 169.87g/mol:

20g * (1mol / 169.87g) = 0.1177moles of AgNO₃

For a complete reaction of 0.0787moles of Cu are required:

0.0787moles Cu * (2 moles AgNO₃ / 1mol Cu) = 0.1574 moles AgNO₃

As there are just 0.1177 moles,

AgNO₃ is limiting reactant

b. Would be needed 0.1574 moles of AgNO₃. In grams:

0.1574mol * (169.87g / mol) =

26.7g of AgNO₃ would be needed

a). In the given reaction, the limiting reactant would be:

[tex]AgNO_{3}[/tex]

b). The amount of limiting reactant required for the reaction would be:

[tex]26.7g[/tex]

a). Given the reaction,

[tex]Cu(s) + 2[/tex][tex]AgNO_{3}[/tex]  →  [tex]2Ag(s) +[/tex][tex]Cu(NO_{3})_{2}[/tex]

As we can see,

Cu's 1 mole displays a reaction with 2 moles of

To find,

Moles of Cu = Mass of Cu/Molar Mass of Cu

[tex]= 5g/63.546g[/tex]

[tex]= 0.0787[/tex] moles

Similarly,

Moles of  [tex]AgNO_{3}[/tex] = Mass of [tex]AgNO_{3}[/tex]/Molar Mass of [tex]AgNO_{3}[/tex]

[tex]= 20g/169.87g = 0.1177[/tex] moles

Now,

The entire reaction;

[tex]0.0787 Cu[/tex] × 2 moles of [tex]AgNO_{3}[/tex]/1 mol of Cu

= [tex]0.1574[/tex] moles

Since only 0.01177 moles of [tex]AgNO_{3}[/tex] are present, it is the limiting reactant.

b). To determine the requirement of [tex]AgNO_{3}[/tex],

Moles of [tex]AgNO_{3}[/tex] × molar mass of

[tex]= 0.1574[/tex] × [tex]169.87 g/mol[/tex]

= [tex]26.7g[/tex]

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