Answer :

To determine the mass of 8.25 x 10²³ molecules of NH₃ (ammonia), we need to follow a series of conversion steps.

1. Understand Avogadro's Number: Avogadro's number is approximately 6.022 x 10²³ molecules per mole. This is the number of molecules in one mole of any substance.

2. Determine the Molar Mass of NH₃:
- NH₃ consists of one nitrogen (N) atom and three hydrogen (H) atoms.
- The atomic mass of nitrogen is about 14 grams per mole.
- The atomic mass of hydrogen is about 1 gram per mole.
- So, the molar mass of NH₃ is:
14 g/mol (for N) + 3 x 1 g/mol (for H) = 17 g/mol.

3. Convert Molecules to Moles:
- We have 8.25 x 10²³ molecules of NH₃.
- To convert molecules to moles, divide the number of molecules by Avogadro's number:
[tex]\[
\text{Moles of NH}_3 = \frac{8.25 \times 10^{23} \text{ molecules}}{6.022 \times 10^{23} \text{ molecules/mol}} \approx 1.37 \text{ moles}
\][/tex]

4. Calculate the Mass of NH₃:
- Now that we have approximately 1.37 moles of NH₃, we can find the mass by multiplying the number of moles by the molar mass:
[tex]\[
\text{Mass of NH}_3 = 1.37 \text{ moles} \times 17 \text{ g/mol} \approx 23.3 \text{ grams}
\][/tex]

So, 8.25 x 10²³ molecules of NH₃ have a mass of approximately 23.3 grams.

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