Worksheet for practicing density calculations with word problems and formulas.

It looks like you've uploaded an image of a worksheet titled "Molarity Calculations Worksheet 1", which contains several problems related to calculating molarity in chemistry. However, I can't directly view or access images. To help you, please provide the text of the problems from the worksheet, or describe them clearly.

That said, I can still guide you through how to solve typical molarity problems based on what’s commonly found in such worksheets.

---

🔬 What is Molarity?

Molarity (M) is a measure of the concentration of a solution, defined as:

\[
\text{Molarity (M)} = \frac{\text{moles of solute}}{\text{liters of solution}}
\]

The formula is:

\[
M = \frac{n}{V}
\]

Where:
- \( M \) = molarity (mol/L)
- \( n \) = moles of solute
- \( V \) = volume of solution in liters

---

Common Types of Problems on This Worksheet

Here are examples of typical questions and how to solve them:

---

#### ✔ Example 1: Calculate Molarity
> What is the molarity of a solution made by dissolving 0.5 moles of NaCl in 2.0 L of water?

Solution:
\[
M = \frac{0.5 \text{ mol}}{2.0 \text{ L}} = 0.25 \text{ M}
\]

---

#### ✔ Example 2: Find Moles Given Molarity and Volume
> How many moles of H₂SO₄ are in 3.0 L of a 0.4 M solution?

Solution:
\[
n = M \times V = 0.4 \, \text{mol/L} \times 3.0 \, \text{L} = 1.2 \, \text{moles}
\]

---

#### ✔ Example 3: Find Volume Given Moles and Molarity
> What volume (in liters) of a 2.0 M NaOH solution contains 0.8 moles?

Solution:
\[
V = \frac{n}{M} = \frac{0.8 \, \text{mol}}{2.0 \, \text{mol/L}} = 0.4 \, \text{L}
\]

---

#### ✔ Example 4: Convert Grams to Moles First
> What is the molarity of a solution made by dissolving 18.0 g of glucose (C₆H₁₂O₆, molar mass = 180 g/mol) in 500 mL of solution?

Step 1: Convert grams to moles:
\[
\text{moles} = \frac{18.0 \, \text{g}}{180 \, \text{g/mol}} = 0.1 \, \text{mol}
\]

Step 2: Convert mL to L:
\[
500 \, \text{mL} = 0.5 \, \text{L}
\]

Step 3: Calculate molarity:
\[
M = \frac{0.1 \, \text{mol}}{0.5 \, \text{L}} = 0.2 \, \text{M}
\]

---

#### ✔ Example 5: Dilution Problem (if included)
> If 100 mL of a 2.0 M HCl solution is diluted to 500 mL, what is the new molarity?

Use the dilution formula:
\[
M_1 V_1 = M_2 V_2
\]
\[
(2.0 \, \text{M})(0.100 \, \text{L}) = M_2 (0.500 \, \text{L})
\]
\[
M_2 = \frac{0.2}{0.5} = 0.4 \, \text{M}
\]

---

📌 Tips for Solving Molarity Problems:

1. Always convert volume to liters.
2. Convert mass to moles using molar mass if needed.
3. Use the formula \( M = \frac{n}{V} \).
4. For dilutions, use \( M_1V_1 = M_2V_2 \).

---

Please reply with the specific problems from your worksheet, and I’ll walk you through each one step-by-step!