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**Problem**: Solutions of sodium carbonate and silver nitrate react to form solid silver carbonate and a solution of sodium nitrate. A solution containing 3.60 g of sodium carbonate is mixed with one containing 5.14 g of silver nitrate.How many grams of sodium carbonate are present after the reaction is complete?

###### FREE Expert Solution

###### FREE Expert Solution

Determine the limiting reactant first:

**Balanced Reaction: Na _{2}CO_{3(aq) }+ 2 AgNO_{3(aq) }→ Ag_{2}CO_{3(s) }+ 2NaNO**

_{3(aq)}

Mass of Ag_{2}CO3 from Na_{2}CO_{3:}

$\mathbf{mass}\mathbf{}{\mathbf{Ag}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}\mathbf{=}\mathbf{3}\mathbf{.}\mathbf{60}\mathbf{}\overline{)\mathbf{g}\mathbf{}{\mathbf{Na}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}\mathbf{\left(}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{Na}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}}{\mathbf{105}\mathbf{.}\mathbf{99}\mathbf{}\overline{)\mathbf{g}\mathbf{}{\mathbf{Na}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}}\mathbf{\right)}\mathbf{\left(}\frac{\mathbf{1}\overline{)\mathbf{}\mathbf{mol}\mathbf{}{\mathbf{Ag}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}}{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{Na}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}}\mathbf{\right)}\mathbf{\left(}\frac{\mathbf{275}\mathbf{.}\mathbf{75}\mathbf{}\mathbf{g}\mathbf{}{\mathbf{Ag}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{Ag}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}}\mathbf{\right)}\mathbf{=}$**9.37 g**

Mass of Ag_{2}CO3 from AgNO_{3:}

$\mathbf{mass}\mathbf{}{\mathbf{Ag}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}\mathbf{=}\mathbf{5}\mathbf{.}\mathbf{14}\mathbf{}\overline{)\mathbf{g}\mathbf{}{\mathbf{AgNO}}_{\mathbf{3}}}\mathbf{\left(}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{AgNO}}_{\mathbf{3}}}}{\mathbf{169}\mathbf{.}\mathbf{87}\mathbf{}\overline{)\mathbf{g}\mathbf{}{\mathbf{AgNO}}_{\mathbf{3}}}}\mathbf{\right)}\mathbf{\left(}\frac{\mathbf{1}\overline{)\mathbf{}\mathbf{mol}\mathbf{}{\mathbf{Ag}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}}{\mathbf{2}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{AgNO}}_{\mathbf{3}}}}\mathbf{\right)}\mathbf{\left(}\frac{\mathbf{275}\mathbf{.}\mathbf{75}\mathbf{}\mathbf{g}\mathbf{}{\mathbf{Ag}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{Ag}}_{\mathbf{2}}{\mathbf{CO}}_{\mathbf{3}}}}\mathbf{\right)}\mathbf{=}$**4.17 g**

The limiting reactant is AgNO_{3}, hence it would be used up in the reaction. The excess reactant is Na_{2}CO_{3}.

###### Problem Details

Solutions of sodium carbonate and silver nitrate react to form solid silver carbonate and a solution of sodium nitrate. A solution containing 3.60 g of sodium carbonate is mixed with one containing 5.14 g of silver nitrate.

How many grams of sodium carbonate are present after the reaction is complete?

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Solutions of sodium carbonate and silver nitrate react to fo...
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Based on our data, we think this problem is relevant for Professor Gulde's class at UB.