Analysis of a 10.15 g sample of a compound known to contain only phosphorus and oxygen indicates a phosphorus content of 4.433 g. What is the empirical formula of this compound

Respuesta :

find mass of oxygen by subtracting mass of phosphorus from the total mass

divide the masses by the molar mass to get moles

divide moles by the smallest amount of moles

multiply by 2 to get a nice number

P4O5

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The empirical formula of a compound containing phosphorus and oxygen is P₂O₅.

What is the empirical formula?

The lowest whole number ratio of the components in the compound would be this.

The mass of an unknown compound is 10.15 g

The mass of phosphorus is 4.433 g.

10.15 - 4.433 = 5.717

The mass of oxygen will be 5.717g

Calculate the moles

[tex]\rm Number\;of \;moles= \dfrac{mass}{molar\;mass}\\\\\rm Number\;of \;moles\;of\;O= \dfrac{5.717}{16}= 0.357 \\\\Number\;of \;moles\;of\;P= \dfrac{4.433 }{31}= 0.143[/tex]

Now, divide the moles by the smallest number of MOL

[tex]\dfrac{0.357 }{0.143}= 2.49 \\\\\\ \dfrac{0.143}{0.143}= 1[/tex]

Multiply the moles with 2 2.49 × 2 = 51 × 2 = 2

Thus, the empirical formula is [tex]\rm P_2O_5[/tex]

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