What is the empirical formula of a phosphoric acid that contains 0.3086 g of hydrogen, 3.161 g of phosphorus, and 6.531 g of oxygen?

Respuesta :

H:P:O = 0,3086/1 : 3,161/31 : 6,531/16 = 0,3086 : 0,10197 : 0,4082
H:P:O ≈ 3 : 1 : 4

H₃PO₄

Answer: The empirical formula is [tex]H_3PO_4[/tex]

Explanation:

Given:

Mass of H = 0.3086 g

Mass of P = 3.161 g

Mass of O = 6.531 g

Step 1 : convert given masses into moles.

Moles of H=[tex]\frac{\text{ given mass of H}}{\text{ molar mass of H}}= \frac{0.3086g}{1g/mole}=0.309moles[/tex]

Moles of P=[tex]\frac{\text{ given mass of P}}{\text{ molar mass of P}}= \frac{3.161g}{31g/mole}=0.102moles[/tex]

Moles of O =[tex]\frac{\text{ given mass of O}}{\text{ molar mass of O}}= \frac{6.531g}{16g/mole}=0.408moles[/tex]

Step 2 : For the mole ratio, divide each value of moles by the smallest number of moles calculated.

For H= [tex]\frac{0.309}{0.102}=3[/tex]

For P= [tex]\frac{0.102}{0.102}=1[/tex]

For O =[tex]\frac{0.408}{0.102}=4[/tex]

The ratio of H:P:O= 3: 1: 4

Hence the empirical formula is [tex]H_3PO_4[/tex]