When a gas is bubbled through water at $298\, K$, a very dilute solution of the gas is obtained. Henry?s law constant for the gas at $298 \,K$ is $100\, kbar$. If the gas exerts a partial pressure of $1\, bar$, the number of millimoles of the gas dissolved in one litre of water is
- 0.555
- 5.55
- 0.0555
- 55.5
The Correct Option is A
Solution and Explanation
Answer (a) 0.555
According to the Question:-
$P_{gas} = (K_{H})X_{gas}$
$1= (100 \times 10^3)X_{gas}$
$X_{gas}=1\times 10^{-5} $
$\frac{n_{gas}}{n_{gas} +n_{water}} = 1 \times 10^{-5}$
$n_{gas} +n_{water} ≈n_{water}$ $(∵ n_{gas} <<< n_{water})$
$\frac{n_{gas}}{1000/18} = 1 \times 10^{-5}$
$n_{gas} = 5.556 \times 10^{-4}$
Therefore, the number of millimoles of the gas dissolved in one litre of water is $n_{gas} = 0.555$
Top Questions on Solutions
- Which of the following compound can give positive iodoform test when treated with aqueous KOH solution followed by potassium hypoiodite.
- A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is: - Arrange the following compounds in increasing order of their solubilities in chloroform:
NaCl, CH3OH, cyclohexane, CH3CN - The amount of glucose required to prepare 250 mL of \( \frac{M}{20} \) aqueous solution is:
(Molar mass of glucose: 180 g mol-1) - Mass of ethylene glycol (antifreeze) to be added to 18.6 kg of water to protect the freezing point at $-24^\circ C$ is ____ kg (Molar mass in g mol$^{-1}$ for ethylene glycol = 62, $K_f$ of water = 1.86 K kg mol$^{-1}$).
Questions Asked in KEAM exam
- A Spherical ball is subjected to a pressure of 100 atmosphere. If the bulk modulus of the ball is 1011 N/m2,then change in the volume is:
- KEAM - 2023
- mechanical properties of solids
- Two identical solid spheres,each of radius 10cm,are kept in contact. If the mass of inertia of this system about the tangent passing through the point of contact is 0. Then mass of each sphere is:
- KEAM - 2023
- System of Particles & Rotational Motion
- The value of a(≠0) for which the equation \(\frac{1}{2}(x-2)^2+1=\sin(\frac{a}{x})\) holds is/are
- KEAM - 2023
- Trigonometric Functions
- \(∫xlog(1+x^2)dx=\)?
- KEAM - 2023
- Integration by Parts
- A uniform thin rod of mass 3kg has a length of 1m. If a point mass of 1kg is attached to it at a distance of 40cm from its center,the center of mass shifts by a distance of:
- KEAM - 2023
- System of Particles & Rotational Motion
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.