Copper metal (Cu) reacts with silver nitrate (AgNO3) in aqueous solution to form Ag and Cu(NO3)2. The balanced chemical equation is shown below. Cu 2AgNO3 Right arrow. Cu(NO3)2 2Ag The molar mass of Cu is 63. 5 g/mol. The molar mass of Ag is 107. 9 g/mol. What mass, in grams, of Ag is produced from a reaction of 31. 75 g of Cu? 26. 95 107. 9 215. 91 431. 82.

Respuesta :

The mass formed in a chemical reaction is given by stoichiometry law in balanced chemical equation. The mass of silver produced in the reaction is 107. 9 g.

What is the stoichiometric law?

The stoichiometric law states that in a balanced chemical equation, the stoichiometric coefficient describes the moles of each compound in a chemical reaction.

The balanced chemical equation for the reaction is:

[tex]\rm Cu\;+\;2\;AgNO_3\;\rightarrow\;Cu(NO_3)_2\;+\;2\;Ag[/tex]

From the balanced chemical equation, 1 moles of copper results in 2 moles of silver.

Moles in terms of mass can be given as:

[tex]\rm Moles=\dfrac{Mass}{Molar\;mass}[/tex]

Thus, moles of 31. 75 grams copper is:

[tex]\rm Cu=\dfrac{ 31. 75 }{63.5}\;mol\\ Cu=0.5 mol[/tex]

The moles of Ag produced can be given from stoichiometric law as:

[tex]\rm 1\;mol\;Cu=2\;mol\;Ag\\0.5 \;mol\;Cu=0.5\;\times\;2\;mol\;Ag\\0.5\;mol\;Cu=1\;mol\;Ag[/tex]

The moles of Ag produced is 1 mol.

The mass of a mole of element is equivalent to the molar mass. Thus, the mass of Ag produced in the reaction is 107. 9 g. Hence, option B is correct.

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