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Complete and balance the following : (...

Complete and balance the following :
(i)`P_(4)O_(10)+PCl_(5)to`

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To complete and balance the reaction between \( P_4O_{10} \) and \( PCl_5 \), we will follow these steps: ### Step 1: Write the unbalanced equation The reactants are \( P_4O_{10} \) and \( PCl_5 \). The product formed is \( POCl_3 \) (phosphoryl chloride). Thus, the unbalanced equation is: \[ P_4O_{10} + PCl_5 \rightarrow POCl_3 \] ### Step 2: Determine the number of atoms in reactants and products - In \( P_4O_{10} \), we have: - 4 phosphorus (P) atoms - 10 oxygen (O) atoms - In \( PCl_5 \), we have: - 1 phosphorus (P) atom - 5 chlorine (Cl) atoms - In \( POCl_3 \), we have: - 1 phosphorus (P) atom - 1 oxygen (O) atom - 3 chlorine (Cl) atoms ### Step 3: Balance phosphorus (P) atoms From \( P_4O_{10} \), we have 4 P atoms. To balance the phosphorus, we need 4 \( POCl_3 \): \[ P_4O_{10} + PCl_5 \rightarrow 4 POCl_3 \] ### Step 4: Balance chlorine (Cl) atoms Each \( POCl_3 \) has 3 Cl atoms, so for 4 \( POCl_3 \), we need: \[ 4 \times 3 = 12 \text{ Cl atoms} \] To provide these 12 Cl atoms, we need 12 \( PCl_5 \): \[ P_4O_{10} + 12 PCl_5 \rightarrow 4 POCl_3 \] ### Step 5: Balance the oxygen (O) atoms In \( P_4O_{10} \), we have 10 O atoms. The product \( 4 POCl_3 \) does not contain any oxygen, so we need to ensure that the oxygen is balanced. Since \( PCl_5 \) does not contain oxygen, we need to keep \( P_4O_{10} \) as is. ### Step 6: Write the balanced equation Now we can write the complete and balanced equation: \[ P_4O_{10} + 6 PCl_5 \rightarrow 4 POCl_3 \] ### Final Balanced Equation The final balanced equation is: \[ P_4O_{10} + 6 PCl_5 \rightarrow 4 POCl_3 \]
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