A company dissolves \(‘X’\) amount of \(CO_2\) at \(298\ K\) in \(1\) litre of water to prepare soda water. \(X\) = _____ \(× 10^{–3}\) g. (nearest integer)
(Given: partial pressure of \(CO_2\) at \(298\ K = 0.835\) bar. Henry’s law constant for \(CO_2\) at \(298\ K = 1.67\) Kbar. Atomic mass of \(H\), \(C\) and \(O\) is \(1\), \(12\), and \(6\) g mol–1, respectively)
(Given: partial pressure of \(CO_2\) at \(298\ K = 0.835\) bar. Henry’s law constant for \(CO_2\) at \(298\ K = 1.67\) Kbar. Atomic mass of \(H\), \(C\) and \(O\) is \(1\), \(12\), and \(6\) g mol–1, respectively)
Correct Answer: 1221
Solution and Explanation
Where, \(X_g\) is mole fraction of gas in solution
\(0.835 = 1.67 × 103 (X_{CO_2})\)
\((X_{CO_2}) = 5×10^{-4}\)
Mass of \(CO_2\) in 1 L water = \(1221×10^{–3} g\)
So, the answer is \(1221\).
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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.