Does anyone know how to find mass of NaN3

Does anyone know how to find mass of NaN3?

The Correct Answer and Explanation is :

The correct answer is: 65.02 g/mol

To find the mass of sodium azide (NaN₃), we need to calculate its molar mass first. The molar mass is the sum of the atomic masses of all the atoms in a molecule of NaN₃.

  1. Atomic masses:
  • Sodium (Na): 22.99 g/mol
  • Nitrogen (N): 14.01 g/mol
  1. Molecular formula of NaN₃: Na + 3N

Now, calculate the molar mass of NaN₃:
[
\text{Molar mass of NaN₃} = 1(\text{Na}) + 3(\text{N}) = 22.99 + 3(14.01) = 22.99 + 42.03 = 65.02 \, \text{g/mol}
]
The molar mass of NaN₃ is 65.02 g/mol.

Example Problem: Finding Mass from Moles

If you’re given a certain number of moles of NaN₃ and need to find the mass, use the formula:
[
\text{Mass} = \text{moles} \times \text{molar mass}
]
For example, if you have 0.5 moles of NaN₃, the mass would be:
[
\text{Mass} = 0.5 \times 65.02 = 32.51 \, \text{g}
]

Detailed Explanation

In any calculation involving molar mass, it’s essential to understand that the molar mass tells us how much one mole of a substance weighs. One mole of a substance contains ( 6.022 \times 10^{23} ) particles (atoms, molecules, etc.), which is known as Avogadro’s number. For NaN₃, one mole consists of one sodium atom and three nitrogen atoms.

To solve problems related to molar mass:

  1. Identify the molecular formula: For NaN₃, you have sodium and nitrogen in a 1:3 ratio.
  2. Determine the atomic masses of each element.
  3. Add up the atomic masses based on the number of atoms present in the molecule.
  4. Use this molar mass to convert between moles and mass.

This process is useful in many chemical calculations, such as determining how much of a reactant is needed in a reaction or calculating yields in product formation.

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