To solve for the number of moles of CuCl₂ given a mass of 2.50 grams, we'll follow these steps:
1. Calculate the Molar Mass of CuCl₂:
- Copper (Cu) has a molar mass of 63.55 g/mol.
- Chlorine (Cl) has a molar mass of 35.45 g/mol.
- Since CuCl₂ has one copper atom and two chlorine atoms, we sum the molar masses:
[tex]\[
\text{Molar mass of CuCl}_2 = 63.55 + 2 \times 35.45 = 63.55 + 70.90 = 134.45 \text{ g/mol}
\][/tex]
2. Convert Mass to Moles:
- Use the molar mass to convert the given mass of CuCl₂ to moles using the formula:
[tex]\[
\text{number of moles} = \frac{\text{given mass}}{\text{molar mass}}
\][/tex]
- For CuCl₂:
[tex]\[
\text{number of moles} = \frac{2.50 \text{ grams}}{134.45 \text{ g/mol}}
\][/tex]
3. Perform the Calculation:
- Divide 2.50 grams by 134.45 g/mol:
[tex]\[
\text{number of moles} = \frac{2.50}{134.45} \approx 0.018594272963927114
\][/tex]
Thus, 2.50 grams of CuCl₂ equals approximately 0.0186 moles.