Question

What is the mass of 1.20 into 10 race to power 24 atoms of sodium

Answer 1

Answer:

Mass of 1.20 X 10²⁴ atoms of sodium (Na) is 45.77 grams.

Explanation:

Given

Number of atoms of sodium (Na) = 1.20 X 10²⁴ atoms

Avogadro's number (NA) = 6.022 X 10²³ atoms

Mass of Na = ??

Solution

As we know that mass can be calculated by formula

No. of Moles Na = mass of Na/ Molecular mass of Na

therefore, for calculating mass of Na we need number of moles of Na,

1 mol of Na contains  = 6.022 X 10²³ atoms

x mol of Na contains  = 1.20 X 10²⁴ atoms

No. of moles of Na = (1.20 X 10²⁴ atoms X 1 mol of Na ) / 6.022 X 10²³ atoms

No. of moles of Na = 1.99 moles

1.20 X 10²⁴ atoms of Na contains 1.99 moles of Na

Now for mass,

No. of Moles Na = mass of Na/ Molecular mass of Na

Molecular mass of Na  = 23 g/ mol

Mass of Na = 23 g/ mol X 1.99 mol

Mass of Na = 45.77 grams