81.3k views
2 votes
Annie's Homemade Ice Cream Mix) a. Should Annie's Homemade buy the pasteurized ice cream mix from the supplier? b. Should Annie's Homemade make its own ice cream mix? c. What is the total cost if Annie's Homemade buys the pasteurized ice cream mix from the supplier? d. What is the total cost if Annie's Homemade makes its own ice cream mix?

User Liu Dongyu
by
6.8k points

1 Answer

1 vote

Final answer:

To find the freezing point of a NaCl solution, we use the freezing point depression formula considering the full dissociation of NaCl into ions and the effect of salt in the water. Without specific mass values, an exact freezing point cannot be calculated. Normally, one would use the given mass ratio to calculate molality and determine the freezing point depression.

Step-by-step explanation:

In determining the freezing point of a solution wherein NaCl (table salt) is dissolved in water, we must consider the effect of salt on the freezing point, known as freezing point depression. To find the freezing point of this NaCl solution,

we can use the formula for freezing point depression, which is ΔTf = i * Kf * m. Here, ΔTf is the change in freezing point, i is the van't Hoff factor (the number of particles the solute breaks into), Kf is the freezing point depression constant for water, and m is the molality of the solution.

For NaCl (table salt), which dissociates fully into Na+ and Cl- ions, the van't Hoff factor (i) is 2 because it separates into two ions. Assuming an ideal solution, we would apply this van't Hoff factor to the equation. The Kf value for water is approximately 1.86°C/kg/mol.

To determine the molality (m), which is moles of solute per kilogram of solvent, we would need the mass of the salt and the mass of the water from the 1:11 ratio provided.

Without the mass values for the salt and water, we cannot calculate the exact freezing point in this exercise. However, in an actual scenario, you would use the given mass ratio to calculate the molality, apply it to the equation, and find the change in the freezing point. Finally, subtract this change from the normal freezing point of water (0°C) to get the exact freezing point of the solution.

User Rcmadruga
by
6.5k points