State how many molecules are present in the following...

State how many molecules are present in the following samples.
(a) $0.223 \mathrm{~mol} \mathrm{Cl}_{2}$
(b) $14.7 \mathrm{~mol} \mathrm{~N}_{2} \mathrm{H}_{4}$
(c) $0.334 \mathrm{~mol} \mathrm{C}_{9} \mathrm{H}_{18}$
(d) $1.22 \mathrm{~mol} \mathrm{CO}_{2}$

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Key Concepts

Mole

The mole is a fundamental unit in chemistry that represents a specific quantity of particles, typically atoms, molecules, or ions. It is defined as the amount of substance that contains exactly 6.022 x 10^23 elementary entities, linking the macroscopic measurement of material to the microscopic number of particles present.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of particles in one mole of any substance. This constant is essential for converting between the number of moles and the total number of molecules or atoms, enabling chemists to work with quantities that are practical to measure and using them to infer atomic-scale information.

Mole-Molecule Conversion

This concept involves using the relationship between moles and Avogadro's number to calculate the total number of molecules in a given sample. By multiplying the number of moles by Avogadro's number, one can determine the exact number of molecules, which is critical in stoichiometric calculations and understanding reactions at the molecular level.

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