0.692 moles/kg and 0.988, respectively.
Further explanation
<u>Given:</u>
- A solution that is made by dissolving 3.50 g of potassium nitrate in 50.0 g of water.
- The molar mass of potassium nitrate (KNO₃) is 101.1 g/moles.
- The molar mass of water (H₂O) is 18.02 g/moles.
<u>Question:</u>
The molality (m) and mole fraction of water (X)
<u>The Process:</u>
Part-1: the molality
The formula for molality is
which can be made easier as,
This type of formula will be implemented at present.
Let us calculate the molality of the KNO₃ solution.
Therefore we get the molality of potassium nitrate solution, i.e., 0.692 moles/kg.
Part-2: the mole fraction of water
Let us prepare moles of water solvent and KNO₃ solute.
The formula for mole fraction of water is
Let us calculate the mole fraction of water of the KNO₃ solution.
Thus, the mole fraction of water in KNO₃ solution is 0.988.
<u>Notes:</u>
- The solution comprises a homogeneous mixture of solutes in the solvent.
- In the discussion of solutions, if the solvent is unmentioned, it means the solvent represents water. Water is the most commonly used solvent.
- Concentration states the amount of solute in a solution.
- Concentration represents the intensive property of a solution.
Molality and mole fraction represent several ways of expressing concentration. Furthermore, molality and mole fraction are used in the colligative properties.
- Molality (m) represents the number of moles of solute in every 1 kg (1,000 g) of the solvent.
- Based on suggestions from the National Institute of Standards and Technology in the United States, we accustom it to managing units of molality in moles/kg rather than molal (m). In this manner, we, however, still refer to the SI system of units.
- The mole fraction (X) represents the number of moles of a particular substance compared to the total mole. It is a ratio and a unitless expression.
- The mole fraction of all components of a solution, when added together, will produce one.
<h3>Learn more</h3>
- Calculating the pH value of weak base brainly.com/question/9040743
- About electrolyte and nonelectrolyte solutions brainly.com/question/5404753
- About the solution as a homogeneous mixture brainly.com/question/637791
Keywords: calculate, the molality, mole fraction of water, a solution, dissolving, potassium nitrate, KNO₃, water, H₂O, the colligative properties