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The percentage of zinc in ZnSO(4) . 7H(2...

The percentage of zinc in `ZnSO_(4) . 7H_(2)O` is
(Zn = 65, S = 32, O = 16 H= 1)

A

23

B

13

C

17

D

33

Text Solution

AI Generated Solution

The correct Answer is:
To find the percentage of zinc in the compound \( ZnSO_4 \cdot 7H_2O \), we will follow these steps: ### Step 1: Calculate the molar mass of \( ZnSO_4 \cdot 7H_2O \) 1. **Find the molar mass of each component:** - Zinc (Zn): 65 g/mol - Sulfur (S): 32 g/mol - Oxygen (O): There are 4 oxygen atoms in \( ZnSO_4 \), so \( 4 \times 16 = 64 \) g/mol - Water (H2O): There are 7 water molecules, and the molar mass of water is \( 2 \times 1 + 16 = 18 \) g/mol. Thus, \( 7 \times 18 = 126 \) g/mol 2. **Add them together to find the total molar mass:** \[ \text{Total molar mass} = \text{mass of Zn} + \text{mass of S} + \text{mass of O} + \text{mass of } 7H_2O \] \[ = 65 + 32 + 64 + 126 = 287 \text{ g/mol} \] ### Step 2: Calculate the percentage of zinc in \( ZnSO_4 \cdot 7H_2O \) 1. **Use the formula for percentage:** \[ \text{Percentage of Zn} = \left( \frac{\text{mass of Zn}}{\text{total mass of compound}} \right) \times 100 \] 2. **Substitute the values:** \[ \text{Percentage of Zn} = \left( \frac{65}{287} \right) \times 100 \] 3. **Calculate the percentage:** \[ = 22.65\% \] 4. **Round to the nearest whole number:** \[ \approx 23\% \] ### Final Answer: The percentage of zinc in \( ZnSO_4 \cdot 7H_2O \) is approximately **23%**. ---

To find the percentage of zinc in the compound \( ZnSO_4 \cdot 7H_2O \), we will follow these steps: ### Step 1: Calculate the molar mass of \( ZnSO_4 \cdot 7H_2O \) 1. **Find the molar mass of each component:** - Zinc (Zn): 65 g/mol - Sulfur (S): 32 g/mol - Oxygen (O): There are 4 oxygen atoms in \( ZnSO_4 \), so \( 4 \times 16 = 64 \) g/mol ...
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