One g of a mixture of Na2CO3 and NaHCO3 consumes y equivalent of HCI f...
Given:
- 1 g of a mixture of Na2CO3 and NaHCO3 consumes y equivalent of HCI for complete neutralisation.
- The mixture is heated, cooled and the residue treated with HCI.
To find: How many equivalent of HCI would be required for complete neutralisation?
Solution:
1. Calculation of equivalent weight of Na2CO3 and NaHCO3
- Na2CO3 reacts with 2 moles of HCl to form 2 moles of NaCl and 1 mole of CO2.
- NaHCO3 reacts with 1 mole of HCl to form 1 mole of NaCl, 1 mole of CO2 and 1 mole of H2O.
- The equivalent weight of Na2CO3 and NaHCO3 can be calculated as follows:
- For Na2CO3, equivalent weight = molar mass / number of acidic hydrogens = 106 / 2 = 53 g/equivalent
- For NaHCO3, equivalent weight = molar mass / number of acidic hydrogens = 84 / 1 = 84 g/equivalent
2. Calculation of the composition of the mixture
- Let x be the mass of Na2CO3 and (1 - x) be the mass of NaHCO3 in the mixture.
- Then, we have x(53 / 106) + (1 - x)(84 / 84) = 1
- Solving the equation, we get x = 0.5.
- Therefore, the mixture contains 0.5 g of Na2CO3 and 0.5 g of NaHCO3.
3. Calculation of the equivalent weight of the mixture
- The equivalent weight of the mixture can be calculated as follows:
- Equivalent weight of the mixture = (mass of Na2CO3 / equivalent weight of Na2CO3) + (mass of NaHCO3 / equivalent weight of NaHCO3)
- = (0.5 / 53) + (0.5 / 84)
- = 0.0132 + 0.0059
- = 0.0191 g/equivalent
4. Calculation of the number of equivalents of HCI required for complete neutralisation of the residue
- When the mixture is heated, NaHCO3 decomposes to form Na2CO3, CO2 and H2O.
- Therefore, the residue will contain only Na2CO3.
- Since 1 g of the mixture consumes y equivalents of HCI for complete neutralisation, 0.5 g of Na2CO3 will consume y/2 equivalents of HCI for complete neutralisation.
- When the residue is treated with HCI, the number of equivalents of HCI required for complete neutralisation will be y/2.
Therefore, the correct answer is option B, y equivalents.