Question:
Calculate hardness of water in terms of $ {CaCO_3}$.
Given $ {Ca(HCO3)2}$ = 0.81 gm, $ {Mg(HCO3)2}$ = 0.73 gm, Volume of solution = 100 ml
Calculate hardness of water in terms of $ {CaCO_3}$.
Given $ {Ca(HCO3)2}$ = 0.81 gm, $ {Mg(HCO3)2}$ = 0.73 gm, Volume of solution = 100 ml
Updated On: Jun 23, 2023
- $10^2 ppm$
- $10^3 ppm$
- $10^4 ppm$
- $10^5 ppm$
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The Correct Option is C
Solution and Explanation
$ {gme of \; CaCO3 = gme of \; Ca(HCO3) + gme of \; Mg(HCO3)}$
$\text{mole} \times n.f = \frac{0.81}{162}\times2 + \frac{0.73}{146}\times2$
$ \text{mole} \; \text{of} \; CaCO_{3} = \frac{1}{200} \times2 + \frac{1}{200} \times2$
$ \text{mole} \text{of} CaCO_{3} = \frac{1}{200} + \frac{1}{200} = \frac{2}{200} = \frac{1}{ 100} \text{mole} $
Hardness $ = \frac{Wt. \text{of} \; CaCO_{3} \; \text{in} \; gm }{ Wt. of \; \text{water} \; \text{in} \; gm } \times10^{6} $
$ = \frac{\frac{1}{100} \times100}{100} \times10^{6} = 10^{4} ppm $
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Concepts Used:
Solutions
A solution is a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.
For example, salt and sugar is a good illustration of a solution. A solution can be categorized into several components.
Types of Solutions:
The solutions can be classified into three types:
- Solid Solutions - In these solutions, the solvent is in a Solid-state.
- Liquid Solutions- In these solutions, the solvent is in a Liquid state.
- Gaseous Solutions - In these solutions, the solvent is in a Gaseous state.
On the basis of the amount of solute dissolved in a solvent, solutions are divided into the following types:
- Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
- Saturated Solution- A solution in which no solute can be dissolved after reaching a certain amount of temperature is known as an unsaturated saturated solution.
- Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.