Question

How many total atoms are in 0.550 g of P2O5?

How many total atoms are in 0.550 g of P2O5?

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Answer #1
Concepts and reason

Number of moles of the substance is the simple ratio of the mass to the molar mass of that substance. One mole of substance contains the Avogadro number of molecules in it. Number of atoms in a molecule can be calculated by using the number of moles and molecules.

Fundamentals

Mass of the substance
Number of moles =
Molar mass of the substance

Molar mass = sum of the mass of the individual atoms present in the molecule

Avogadro number = 6.022x1023
therefore
1mole =6.022x10” molecules

Given molecular formula is

Molar mass of P,05 =[2x(molar mass of P)]+[5x(molar massofo)]
=[2x(31)]+[5*(16)]
+62+80
=142g/mol

Therefore molar mass of =142g/mol

Now

number of moles of P,O, present in 0.550g of P,0,
mass of P,0
number of moles=-
molar mass of P,Os
0.550g
142g/mol
=0.00387mo

Number of moles of present in 0.550g of=0.00387 mol

Number of moles of present in 0.550g of=0.00387 mol

Avogadro number =6.022x1023
therefore
1mole=6.022x10” molecules
So

number of molecules of P,0, number of moles of P,0,*6.022x10%
= 0.00387x6.022x10” molecules
=0.0233x10 molecules
= 2.33x102m

Therefore Number of moles of present in 0.550g of=2.33x1021

Now

Number of atoms present in one molecule of =7

Total number of atoms present in 2.33x1021
molecules of is

Total number of atoms=7(2.33x10^)atoms
=16.31*10atoms
=1.631x10atoms

Therefore, total number of atoms present in the 0.550 g of is 1.631x1022
atoms.

Ans:

Total atoms in 0.550g of =1.631x1022

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