Question

Calculate each of the following quantities:

Answer 1

Avogadro's number (Nₐ) is used to relate the number of particles like atoms in a sample. The mass of 1.83 × 10²⁴ molecules of dichlorine heptoxide is 1006 grams.

What is Avogadro's number?

Avogadro's number is used to define the units of the particles like that of moles present in a molecule or compound. Here, (Nₐ) = 6.02 x 10²³.

It is known that 1 mole = 6.02 x 10²³ molecules

So, X mole = 1.83 x 10²⁴ molecules of dichlorine heptoxide

X = 1.83 x 10²⁴ ÷ 6.02 x 10²³

= 5.5 moles

Given,

Moles calculated from above = 5.5 mol

Molar mass of dichlorine heptoxide = 182.901 g/mol

Mass is calculated as:

Mass = Moles × molar mass

= 5.5 mol × 182.901 g/mol

= 1,005.95 grams

Therefore, 1.83 × 10²⁴ molecules of dichlorine heptoxide contain 1006 grams.

Learn more about Avogadro's number, here:

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