How many milliliters of calcium, with a density of 1.55 g/mL, are needed to produce 85.8 grams of calcium fluoride in the single replacement reaction below? Show all steps of your calculation as well as the final answer.

Unbalanced equation: Ca + HF yields CaF2 + H2

Respuesta :

Answer: 55.35ml

Explanation:

[tex]Ca+2HF\rightarrow CaF_2+H_2[/tex]

To calculate the given moles, we use the formula:

[tex]Moles=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

[tex]Moles=\frac{85.8g}{78g/mol}=1.1moles[/tex]

By  stoichiometry of the reaction,

1 mole of [tex]CaF_2[/tex]  is produced by 1 mole of Ca

1.1 moles of [tex]CaF_2[/tex]  are produced by=[tex]\frac{1}{1}\times 1.1=1.1 moles[/tex] of Ca.

Mass of [tex]CaF_2=\text{no of moles}\times \text{Molar mass}[/tex]

Mass of [tex]CaF_2=1.1\times {78}=85.8g[/tex]

[tex]Volume=\frac{Mass}{Density}[/tex]

[tex]Volume=\frac{85.8g}{1.55g/ml}=55.35ml[/tex]