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Chapter 14: Problem 33

Using solubility data of a solid in a specified liquid, explain how you would determine the mass fraction of the solid in the liquid at the interface at a specified temperature.

Short Answer

Expert verified
Question: Explain the procedure of finding the mass fraction of a solid in a liquid at the interface, given the solubility data and a specified temperature. Answer: To find the mass fraction of a solid in a liquid at a specified temperature, follow these steps: 1. Locate the solubility data for the specific temperature to find the mass of the solute that can dissolve in the solvent. 2. Use the solubility data to find the mass of the dissolved solid in the liquid by multiplying the solubility value with the mass (or volume) of the liquid. 3. Calculate the mass fraction of the solid in the liquid by dividing the mass of the dissolved solid by the total mass of the solution (liquid + solid).

Step by step solution

01

Locate the solubility data for the specific temperature

In order to determine the mass fraction of the solid at a specified temperature, first, look up the solubility data either from a solubility chart/graph or from a table of values provided. The solubility data will give you the mass of the solute (solid) that can be dissolved in a certain mass or volume of solvent (liquid) at that particular temperature.
02

Find the mass of the dissolved solid

Once you have located the solubility data for the specific temperature, use the information provided to find the mass of the dissolved solid in the liquid. The solubility data will either be express in mass/volume or mass/mass units (for example, g/mL or g/g). If expressed in mass/volume units, multiply the solubility value by the volume of the liquid to get the mass of the dissolved solid. If expressed in mass/mass units, multiply the solubility value by the mass of the liquid. For example, if the solubility data is given as "X g of solid per 100 g of liquid" and you have 200 g of liquid, then the mass of the dissolved solid can be calculated by: Mass of dissolved solid = X g/100 g * 200 g
03

Calculate the mass fraction of the solid in the liquid

Now that we have the mass of the dissolved solid, we need to find the total mass of the solution (liquid + solid) and use it to calculate the mass fraction. Total mass of the solution can be calculated by adding the mass of the dissolved solid to the mass of the liquid. Total mass = Mass of dissolved solid + Mass of liquid The mass fraction of the solid in the liquid can be calculated using the following formula: Mass fraction of solid = (Mass of dissolved solid) / (Total mass) Thus, by using the solubility data and following these steps, one can determine the mass fraction of a solid in a liquid at the interface at a specified temperature.

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Most popular questions from this chapter

A natural gas (methane, \(\mathrm{CH}_{4}\) ) storage facility uses 3 -cm- diameter by 6 -m-long vent tubes on its storage tanks to keep the pressure in these tanks at atmospheric value. If the diffusion coefficient for methane in air is \(0.2 \times 10^{-4} \mathrm{~m}^{2} / \mathrm{s}\) and the temperature of the tank and environment is \(300 \mathrm{~K}\), the rate at which natural gas is lost from a tank through one vent tube is (a) \(13 \times 10^{-5} \mathrm{~kg} / \mathrm{day}\) (b) \(3.2 \times 10^{-5} \mathrm{~kg} / \mathrm{day}\) (c) \(8.7 \times 10^{-5} \mathrm{~kg} / \mathrm{day}\) (d) \(5.3 \times 10^{-5} \mathrm{~kg} / \mathrm{day}\) (e) \(0.12 \times 10^{-5} \mathrm{~kg} / \mathrm{day}\)

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