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## Sagot :

1.

**Understanding Molarity**:

- Molarity (M) is defined as the number of moles of solute per liter of solution.

- Therefore,

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

2.

**Given Values**:

- Volume of the [tex]\( \text{BaCl}_2 \)[/tex] solution ([tex]\( \text{V}_{\text{solution}} \)[/tex]) = 200 mL

- First, we need to convert this volume into liters because the molarity is given in terms of liters.

- There are 1000 mL in 1 liter, so:

[tex]\[ 200 \, \text{mL} = \frac{200}{1000} = 0.2 \, \text{L} \][/tex]

- Molarity of the [tex]\( \text{BaCl}_2 \)[/tex] solution (M) = 0.10 M

3.

**Calculating Moles of [tex]\( \text{BaCl}_2 \)[/tex]**:

- Now, use the molarity formula to find the number of moles of [tex]\( \text{BaCl}_2 \)[/tex]:

[tex]\[ \text{Moles of } \text{BaCl}_2 = \text{Molarity (M)} \times \text{Volume (L)} \][/tex]

- Plugging in the given values:

[tex]\[ \text{Moles of } \text{BaCl}_2 = 0.10 \, \text{M} \times 0.2 \, \text{L} \][/tex]

4.

**Performing the Multiplication**:

- Simply multiply the two numbers to get the number of moles:

[tex]\[ \text{Moles of } \text{BaCl}_2 = 0.10 \times 0.2 = 0.020 \][/tex]

Therefore, the number of moles of [tex]\( \text{BaCl}_2 \)[/tex] present in 200 mL of a 0.10 M [tex]\( \text{BaCl}_2 \)[/tex] solution is:

[tex]\[ 0.020 \text{ moles} \][/tex]