onsider the following reaction: CaCN2 + 3 H2O → CaCO3 + 2 NH3 105.0 g CaCN2 and 78.0 g H2O are reacted. Assuming 100% efficiency, which reactant is in excess and how much is leftover? The molar mass of CaCN2 is 80.11 g/mol. The molar mass of CaCO3 is 100.09 g/mol.

Respuesta :

Answer : The excess reactant is, [tex]H_2O[/tex]

The leftover amount of excess reagent is, 7.2 grams.

Solution : Given,

Mass of [tex]CaCN_2[/tex] = 105.0 g

Mass of [tex]H_2O[/tex] = 78.0 g

Molar mass of [tex]CaCN_2[/tex] = 80.11 g/mole

Molar mass of [tex]H_2O[/tex] = 18 g/mole

Molar mass of [tex]CaCO_3[/tex] = 100.09 g/mole

First we have to calculate the moles of [tex]CaCN_2[/tex] and [tex]H_2O[/tex].

[tex]\text{ Moles of }CaCN_2=\frac{\text{ Mass of }CaCN_2}{\text{ Molar mass of }CaCN_2}=\frac{105.0g}{80.11g/mole}=1.31moles[/tex]

[tex]\text{ Moles of }H_2O=\frac{\text{ Mass of }H_2O}{\text{ Molar mass of }H_2O}=\frac{78.0g}{18g/mole}=4.33moles[/tex]

Now we have to calculate the limiting and excess reagent.

The balanced chemical reaction is,

[tex]CaCN_2+3H_2O\rightarrow CaCO_3+2NH_3[/tex]

From the balanced reaction we conclude that

As, 1 mole of [tex]CaCN_2[/tex] react with 3 mole of [tex]H_2O[/tex]

So, 1.31 moles of [tex]CaCN_2[/tex] react with [tex]1.31\times 3=3.93[/tex] moles of [tex]H_2O[/tex]

From this we conclude that, [tex]H_2O[/tex] is an excess reagent because the given moles are greater than the required moles and [tex]CaCN_2[/tex] is a limiting reagent and it limits the formation of product.

Left moles of excess reactant = 4.33 - 3.93 = 0.4 moles

Now we have to calculate the mass of excess reactant.

[tex]\text{ Mass of excess reactant}=\text{ Moles of excess reactant}\times \text{ Molar mass of excess reactant}(H_2O)[/tex]

[tex]\text{ Mass of excess reactant}=(0.4moles)\times (18g/mole)=7.2g[/tex]

Thus, the leftover amount of excess reagent is, 7.2 grams.