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5) Calculate the percent composition of CuSO_(4)cdot 2H_(2)O
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The percent composition of \( CuSO_{4}\cdot 2H_{2}O \) is:<br />- Copper (Cu): 32.72%<br />- Sulfur (S): 16.41%<br />- Oxygen (O): 32.72%<br />- Hydrogen (H): 18.35%
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## Step 1: Determine the molar mass of each element in \( CuSO_{4}\cdot 2H_{2}O \).<br />- Copper (Cu): 63.55 g/mol<br />- Sulfur (S): 32.07 g/mol<br />- Oxygen (O): 16.00 g/mol<br />- Hydrogen (H): 1.01 g/mol<br /><br />## Step 2: Calculate the molar mass of \( CuSO_{4} \).<br />### \[<br />\text{Molar mass of } CuSO_{4} = 63.55 + 32.07 + (4 \times 16.00) = 159.62 \text{ g/mol}<br />\]<br /><br />## Step 3: Calculate the molar mass of \( 2H_{2}O \).<br />### \[<br />\text{Molar mass of } 2H_{2}O = 2 \times (2 \times 1.01 + 16.00) = 36.02 \text{ g/mol}<br />\]<br /><br />## Step 4: Calculate the total molar mass of \( CuSO_{4}\cdot 2H_{2}O \).<br />### \[<br />\text{Total molar mass of } CuSO_{4}\cdot 2H_{2}O = 159.62 + 36.02 = 195.64 \text{ g/mol}<br />\]<br /><br />## Step 5: Calculate the percent composition of each element in \( CuSO_{4}\cdot 2H_{2}O \).<br />- Percent composition of Cu:<br />### \[<br />\frac{63.55}{195.64} \times 100 \approx 32.72\%<br />\]<br />- Percent composition of S:<br />### \[<br />\frac{32.07}{195.64} \times 100 \approx 16.41\%<br />\]<br />- Percent composition of O:<br />### \[<br />\frac{4 \times 16.00}{195.64} \times 100 \approx 32.72\%<br />\]<br />- Percent composition of H:<br />### \[<br />\frac{36.02}{195.64} \times 100 \approx 18.35\%<br />\]
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