A quantity of 1 g of metal carbonate was dissolved in 25ml normal HCl....
Problem
A quantity of 1 g of metal carbonate was dissolved in 25 ml normal HCl. The resulting liquid requires 50 ml of N/10 caustic soda solution to neutralize it completely. The equivalent weight of metal carbonate is:
Solution
To find the equivalent weight of metal carbonate, we need to use the formula:
Equivalent weight = Molecular weight / Acid or Base equivalent weight
Step 1: Calculate Acid Equivalent Weight
Normality of HCl = [Number of H+ ions]/[Volume of solution in liters]
Since the solution is normal, the normality of HCl is 1 N.
Therefore, the number of H+ ions in 1 L of HCl = 1 N x 1 mole/L = 1 mole
The number of H+ ions in 25 ml of HCl = (1 mole/L) x (25 ml / 1000 ml) = 0.025 mole
HCl is a monoprotic acid, which means that it donates one H+ ion per molecule.
Therefore, the acid equivalent weight of HCl = Molecular weight / Number of H+ ions per molecule
= 36.5 g/mol / 1 = 36.5 g/mol
Step 2: Calculate Base Equivalent Weight
N/10 caustic soda solution means that the solution contains 1/10th of a mole of NaOH in 1 L of solution.
Therefore, the number of NaOH molecules in 50 ml of N/10 NaOH solution = (1/10) x (1/1000) x (50 ml) x (6.02 x 10^23 molecules/mol)
= 3.01 x 10^20 molecules
NaOH is a monobasic base, which means that it accepts one H+ ion per molecule.
Therefore, the base equivalent weight of NaOH = Molecular weight / Number of OH- ions per molecule
= 40 g/mol / 1 = 40 g/mol
Step 3: Calculate Equivalent Weight of Metal Carbonate
The metal carbonate reacts with HCl as follows:
MCO3 + 2HCl → MCl2 + CO2 + H2O
From the above equation, we can see that 1 mole of metal carbonate reacts with 2 moles of HCl.
Therefore, the number of moles of HCl that reacted with 1 g of metal carbonate = 0.025 mole
The number of moles of metal carbonate in 1 g of metal carbonate = 1 g / Molecular weight
We do not know the molecular weight of the metal carbonate, so we cannot directly calculate the equivalent weight.
However, we know that the equivalent weight of metal carbonate is the same as its molecular weight, since it reacts with 2 moles of HCl to form 1 mole of the metal chloride.
Therefore, the equivalent weight of metal carbonate = Molecular weight of metal carbonate = 50 g/mol
Answer: d)50