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If 1 mole of H(3)PO(4) reacts with 1 mo...

If 1 mole of `H_(3)PO_(4)` reacts with 1 mole of `X(OH)_(2)` as shown below :
`H_(3)PO_(4)+X(OH)_(2) to XHPO_(4)+2H_(2)O " then"`

A

the equivalent mass of base is `(mol.mass)/(2)`

B

the eq. mass of `H_(3)PO_(4)` is `(98)/(3)`

C

the resulting solution requires 1 mole NaOH for complete neutralization

D

minimum 1 mole of X`(OH)_(2)` is required for complete neutralization of `XHPO_(4)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the reaction between phosphoric acid (H₃PO₄) and the base X(OH)₂, and determine the correct statements regarding equivalent masses and neutralization. ### Step-by-Step Solution: 1. **Identify the Reaction**: The reaction given is: \[ H_3PO_4 + X(OH)_2 \rightarrow XHPO_4 + 2H_2O \] This indicates that 1 mole of H₃PO₄ reacts with 1 mole of X(OH)₂ to produce 1 mole of XHPO₄ and 2 moles of water. 2. **Calculate the Equivalent Mass of X(OH)₂**: - The equivalent mass is calculated using the formula: \[ \text{Equivalent mass} = \frac{\text{Molar mass}}{\text{Valency factor}} \] - For X(OH)₂, the valency factor is 2 because it can donate 2 OH⁻ ions. - Therefore, the equivalent mass of X(OH)₂ is: \[ \text{Equivalent mass of } X(OH)_2 = \frac{M}{2} \] - This statement is correct. 3. **Calculate the Equivalent Mass of H₃PO₄**: - The molar mass of H₃PO₄ is approximately 98 g/mol. - H₃PO₄ can donate a maximum of 3 H⁺ ions (basicity = 3), but in this reaction, it donates only 2 H⁺ ions. - Thus, the valency factor for this reaction is 2. - The equivalent mass of H₃PO₄ is: \[ \text{Equivalent mass of } H_3PO_4 = \frac{98}{2} = 49 \text{ g/equiv} \] - The statement claiming the equivalent mass is 98/3 is incorrect. 4. **Determine Neutralization Requirements**: - The resulting solution is XHPO₄. To neutralize XHPO₄, it will react with NaOH: \[ XHPO_4 + NaOH \rightarrow NaXPO_4 + H_2O \] - This indicates that 1 mole of XHPO₄ requires 1 mole of NaOH for complete neutralization. Thus, this statement is correct. 5. **Determine Minimum Requirement of X(OH)₂ for Neutralization**: - To neutralize XHPO₄, we need to consider the reaction: \[ XHPO_4 + X(OH)_2 \rightarrow \text{Products} \] - Since 1 mole of XHPO₄ requires 1 mole of X(OH)₂ for neutralization, the statement that it requires a minimum of 1 mole of X(OH)₂ is incorrect. It actually requires only half a mole of X(OH)₂ for complete neutralization. ### Conclusion: The correct statements from the options provided are: - A: The equivalent mass of the base is molar mass by 2. (Correct) - C: Resulting solution requires 1 mole NaOH for complete neutralization. (Correct)
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