1g of pure calcium carbonate was found to require 50ml dil. HCL for co...
Calculation of the Strength of HCL Solution
Given:
Mass of pure calcium carbonate = 1g
Volume of dilute HCL solution required for complete reaction = 50ml
We can determine the strength of the HCL solution by using the concept of normality (N). Normality is defined as the number of equivalents of solute present in one liter of solution.
To calculate the normality of the HCL solution, we need to find the number of equivalents of HCL present in the volume used for the reaction. The equation for the reaction between calcium carbonate and hydrochloric acid is as follows:
CaCO3 + 2HCl -> CaCl2 + CO2 + H2O
From the balanced chemical equation, we can see that 1 mole of calcium carbonate reacts with 2 moles of hydrochloric acid. Since we know the mass of calcium carbonate used, we can calculate the number of moles of calcium carbonate.
Molar mass of calcium carbonate (CaCO3) = 40.08g/mol + 12.01g/mol + (3 * 16.00g/mol) = 100.09g/mol
Number of moles of calcium carbonate = Mass / Molar mass = 1g / 100.09g/mol = 0.00999mol ≈ 0.01mol
Since 1 mole of calcium carbonate reacts with 2 moles of hydrochloric acid, the number of moles of hydrochloric acid required for the reaction is twice the number of moles of calcium carbonate.
Number of moles of HCl = 2 * 0.01mol = 0.02mol
Now, we can calculate the normality of the HCL solution using the formula:
Normality (N) = Number of equivalents / Volume of solution (in liters)
To calculate the number of equivalents, we need to know the equivalent weight of HCL. The equivalent weight of an acid is the molar mass divided by the number of acidic hydrogen atoms.
Molar mass of HCL = 1.01g/mol + 35.45g/mol = 36.46g/mol
The number of acidic hydrogen atoms in HCL is 1.
Equivalent weight of HCL = Molar mass / Number of acidic hydrogen atoms = 36.46g/mol / 1 = 36.46g/mol
Number of equivalents of HCL = Number of moles of HCL * Equivalent weight of HCL
= 0.02mol * 36.46g/mol = 0.7292g
Now, we can calculate the normality of the HCL solution:
Normality (N) = Number of equivalents / Volume of solution (in liters)
= 0.7292g / 0.05L = 14.584 N
Therefore, the strength of the HCL solution is approximately 14.584 N.
Now, let's match it with the given options:
a) 4 N
b) 2 N
c) 0.4 N
d) 0.2 N
The calculated normality is much higher than any of the given options. Therefore, none of the provided options match the strength of the HCL solution.
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