Respuesta :

Answer: The quantity of pure [tex]CaCl_2[/tex] in 7.5 g of [tex]CaCl_2.9H_2O[/tex] is 3.0 g

Explanation:

According to avogadro's law, 1 mole of every substance weighs equal to molecular mass and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.

To calculate the moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar Mass}}=\frac{7.5g}{273g/mol}=0.027moles[/tex]

As 1 mole of [tex]CaCl_2.9H_2O[/tex] contains = 1 mole of [tex]CaCl_2[/tex]

Thus 0.027 moles of [tex]CaCl_2.9H_2O[/tex] contains = [tex]\frac{1}{1}\times 0.027=0.027[/tex] mole of [tex]CaCl_2[/tex]

Mass of [tex]CaCl_2=0.027mol\times 111g/mol=3.0g[/tex]

Thus the quantity of pure [tex]CaCl_2[/tex] in 7.5 g of [tex]CaCl_2.9H_2O[/tex] is 3.0 g