Respuesta :
Answer:
Explanation:
To find the mass of copper sulfate pentahydrate needed to make the solution, we can use the formula:
\[ \text{Molarity} = \frac{\text{moles of solute}}{\text{volume of solution in liters}} \]
First, let's calculate the moles of copper sulfate pentahydrate needed using the given molarity and volume:
\[ \text{Moles of solute} = \text{Molarity} \times \text{Volume of solution (in liters)} \]
Given:
- Molarity (\(M\)) = 0.2500 M
- Volume of solution = 75.0 mL = 0.0750 L
\[ \text{Moles of solute} = 0.2500 \, \text{M} \times 0.0750 \, \text{L} \]
\[ \text{Moles of solute} = 0.01875 \, \text{moles} \]
Now, we need to find the molar mass of copper sulfate pentahydrate (CuSO₄·5H₂O) to convert moles to grams.
The molar mass of copper sulfate pentahydrate can be calculated as follows:
- Molar mass of copper (Cu) = 63.55 g/mol
- Molar mass of sulfur (S) = 32.07 g/mol
- Molar mass of oxygen (O) = 16.00 g/mol (x 4)
- Molar mass of hydrogen (H) = 1.01 g/mol (x 10)
\[ \text{Molar mass} = (63.55 + 32.07 + (16.00 \times 4) + (1.01 \times 10)) \, \text{g/mol} \]
\[ \text{Molar mass} = (63.55 + 32.07 + 64.00 + 10.10) \, \text{g/mol} \]
\[ \text{Molar mass} = 169.72 \, \text{g/mol} \]
Now, let's calculate the mass of copper sulfate pentahydrate:
\[ \text{Mass} = \text{Moles} \times \text{Molar mass} \]
\[ \text{Mass} = 0.01875 \, \text{moles} \times 169.72 \, \text{g/mol} \]
\[ \text{Mass} = 3.18 \, \text{grams} \]
Therefore, approximately 3.18 grams of copper sulfate pentahydrate is needed to make 75.0 mL of a 0.2500 M solution.
Answer:
To calculate the mass of copper sulfate pentahydrate needed to make a 0.2500 M solution in 75.0 mL of solution, we can use the formula:
mass = (molarity) x (volume in liters) x (molar mass)
First, we need to convert the volume from milliliters to liters:
75.0 mL = 0.075 L
The molar mass of copper sulfate pentahydrate (CuSO4⋅5H2O) is 249.68 g/mol.
Now we can plug in our values:
mass = (0.2500 M) x (0.0750 L) x (249.68 g/mol)
mass = 4.683 g
Therefore, we need 4.683 grams of copper sulfate pentahydrate to make a 0.2500 M solution in 75.0 mL of solution.
Explanation:
