https://file.aiquickdraw.com/mathbot/file/17294418727109t35788x.jpg

Let's break down and solve the two parts of the problem shown in the image:

### a) **Calculate the mass of one molecule of ammonia.**

We are given:
- The mass of a hydrogen atom: \( 1.67 \times 10^{-24} \) grams.
- The mass of a nitrogen atom: \( 2.32 \times 10^{-23} \) grams.
- A molecule of ammonia (NH₃) contains 3 atoms of hydrogen and 1 atom of nitrogen.

**Step 1: Mass of hydrogen in one ammonia molecule.**
\[
\text{Mass of hydrogen} = 3 \times 1.67 \times 10^{-24} = 5.01 \times 10^{-24} \, \text{grams}
\]

**Step 2: Mass of nitrogen in one ammonia molecule.**
\[
\text{Mass of nitrogen} = 1 \times 2.32 \times 10^{-23} = 2.32 \times 10^{-23} \, \text{grams}
\]

**Step 3: Total mass of one ammonia molecule.**
Add the masses of hydrogen and nitrogen:
\[
\text{Total mass} = 5.01 \times 10^{-24} + 2.32 \times 10^{-23}
\]

Since \( 5.01 \times 10^{-24} = 0.501 \times 10^{-23} \), the total mass becomes:
\[
\text{Total mass} = 0.501 \times 10^{-23} + 2.32 \times 10^{-23} = 2.821 \times 10^{-23} \, \text{grams}
\]

Thus, the mass of one molecule of ammonia is:
\[
\boxed{2.821 \times 10^{-23}} \, \text{grams}
\]

---

### b) **Calculate the number of molecules in 1 gram of ammonia.**

From part (a), we know that the mass of one molecule of ammonia is \( 2.821 \times 10^{-23} \) grams. To find the number of molecules in 1 gram of ammonia, we divide 1 gram by the mass of a single molecule.

\[
\text{Number of molecules} = \frac{1 \, \text{gram}}{2.821 \times 10^{-23} \, \text{grams/molecule}} = \frac{1}{2.821 \times 10^{-23}}
\]

Performing the division:
\[
\text{Number of molecules} = 3.545 \times 10^{22} \, \text{molecules}
\]

Thus, the number of molecules in 1 gram of ammonia is approximately:
\[
\boxed{3.55 \times 10^{22}} \, \text{molecules (to 3 significant figures)}
\]

---

Would you like more details on any step or have questions?

Here are 5 related questions:
1. What would be the mass of 2 grams of ammonia in terms of molecules?
2. How does the atomic mass of hydrogen and nitrogen compare to other elements?
3. What is the molecular mass of other simple compounds, such as water (H₂O)?
4. How does Avogadro's number relate to the number of molecules in a given mass?
5. How can the mass of a compound be converted to moles?

**Tip:** When working with scientific notation, it helps to carefully track powers of 10 to avoid errors in magnitude.

The mass of a hydrogen atom is 1.67 × 10^-24 grams. The mass of a nitrogen atom is 2.32 × 10^-23 grams. A molecule of ammonia contains 3 atoms of hydrogen and 1 atom of nitrogen. a) Calculate the mass of one molecule of ammonia, giving your exact answer in standard form. b) Calculate the number of molecules in 1 gram of ammonia, giving your answer in standard form to 3 significant figures.

Learn how to calculate the mass of one ammonia molecule and the number of molecules in 1 gram of ammonia using scientific notation. This problem covers key concepts like the mass of atoms, multiplication, and division in standard form. Suitable for students in Grades 9-12.

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