What is the mass percentage of a solution obeying Raoult's law with an elevation of boiling point of 2^(@)C?

Introduction:
Raoult's law is a fundamental concept in physical chemistry that describes the behavior of ideal solutions. According to Raoult's law, the vapor pressure of each component in an ideal solution is directly proportional to its mole fraction in the solution. In other words, the partial pressure of a component in the vapor phase is equal to the product of its mole fraction in the liquid phase and its vapor pressure in the pure state. This law is applicable to solutions that have volatile components.

Explanation:
To find the mass percentage of a solution obeying Raoult's law with an elevation of boiling point, we need to consider the following steps:

Step 1: Understand Raoult's Law:
Raoult's law states that the vapor pressure of a component in an ideal solution is directly proportional to its mole fraction in the solution. Mathematically, it can be expressed as:

P = X * P°

Where:
P is the vapor pressure of the component in the solution.
X is the mole fraction of the component in the solution.
P° is the vapor pressure of the pure component.

Step 2: Calculate the elevation of boiling point:
The elevation of boiling point (∆Tb) is given by the formula:

∆Tb = Kb * m

Where:
∆Tb is the elevation of boiling point.
Kb is the molal boiling point elevation constant.
m is the molality of the solution.

Step 3: Calculate the molality of the solution:
The molality (m) of a solution is defined as the number of moles of solute divided by the mass of the solvent in kilograms. It can be calculated using the formula:

m = (moles of solute) / (mass of solvent in kg)

Step 4: Calculate the mass percentage:
The mass percentage of a component in a solution is defined as the mass of the component divided by the total mass of the solution, multiplied by 100. It can be calculated using the formula:

Mass percentage = (mass of component / total mass of solution) * 100

Conclusion:
To find the mass percentage of a solution obeying Raoult's law with an elevation of boiling point of 2^(@)C, we need to calculate the molality of the solution using the given information. Then, we can use the molality to calculate the mass percentage using the formula mentioned above.