A seashore sand mixture contains 85% insoluble sand, 12% salt, and 3% water by weight.100 kilograms of this mixture is to be washed by batch operations so that it will containless than 0.2% salt after drying. In each washing, the sand mixture is mixed with 200kilograms of water and the resulting saline solution is discarded. The sand mixtureretains 0.5 kilograms of water per kilogram of insoluble sand after each washing. Notethat the mixture is not dried between washings.(a) How many washings with 200-kg batches of water are required to give thedesired purity of the sand?Derive a general expression for the weight fraction of salt in the driedmixture after N washings.Note that the solubility of salt in water is 35.7 kg salt per 100 kg of water.(b)

Answered: Image /qna-images/answer/1ce14c0c-0f25-471f-9e77-37ae6a9d8bb9.jpg

(a) (b) How many washings with 200-kg batches of water are required to give the desired purity of the sand? Derive a general expression for the weight fraction of salt in the dried mixture after N washings.

(a) (b) How many washings with 200-kg batches of water are required to give the desired purity of the sand? Derive a general expression for the weight fraction of salt in the dried mixture after N washings.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: A pipet is used to transfer 3.00 mL of a 2.00 M stock solution in flask “S” to a 25.00-mL…

A: From the statement, it is given that Molarity of stock solution, M1= 2.00 M Let, Molarity of…

Q: Describe in words and by means of complete chemical equations, how a mixture of 1.25 g of benzoic…

A: Liquid- liquid extraction: This method is used to separate the mixture of two compounds according to…

Q: When treating a mixture of metals( copper and zinc) with an excess of solution of hydrochloric acid,…

A: Given that - Mixture of metals of copper and zinc react with hydrochloric acid. Gives 2.24 L of a…

Q: The organic base, tris-(hydroxymethyl)aminomethane (or simply TRIS or THAM) is an excellent primary…

A: Amount of the sample = 0.2486 gMolar mass of TRIS = 121.14 g/molVolume of the hydrochloric acid…

Q: 20.00g of sodium hydroxide are placed in a volumetric flask and the solution made up to 250 cm3 with…

A: Given, Mass of NaOH = 20.00 g Volume of the solution in cm3 = 250 cm3 What is the concentration…

Q: The boiling point of water, H₂O, is 100.000 °C at 1 atmosphere. K₁ (water): = 0.512 °C/m In a…

A: we have to calculate molar mass of the new compound

Q: Write the balanced NET ionic equation for the reaction when aqueous SrBr₂ and aqueous K₂SO₄ are…

A: The objective of this question is to write the balanced net ionic equation for the reaction between…

Q: Human saliva contains the enzyme α-amylase which hydrolyzes polysaccharide acetal linkages. A soda…

A: Given: Observation table To find: a) Starch from cracker water mixture was hydrolysed. Starch in one…

Q: 2.513 grams of salicylic acid were allowed to react with excess acetic anhydride to give…

A: # We are given 2.513 g of salicylic acid and excess anhydride reagent to give actual yield 0.534 g…

Q: What is the molarity of potassium ions in a 0.122 | M K2CrO4 solution?

Q: Two fractionating columns are each 40 cm in length. Column A has 20 cm. By marking in the space…

A: Given, Length of fractionating column , L = 40 cm HETP of column A = 2cm HETP of column B = 20 cm

Q: (a) During the distilling apparatus setting up, you are told to add boiling stones to the…

A: (a) Boiling stones are added to the acetone/chloroform mixtures during the distilling apparatus…

Q: Precipitimetry The chloride in a 4.321-g food sample was precipitated through the addition of 50.00…

A: The aim of this question is to explain the molar concentration of the KSCN solution the back…

Q: What is the molecular weight they determined for this compound ?

Q: Briefly explain the principles involved in the separation of the components of a mixture by solvent…

A: Extraction is a method used for the separation of organic compound from a mixture of compound. This…

Question

A seashore sand mixture contains 85% insoluble sand, 12% salt, and 3% water by weight.
100 kilograms of this mixture is to be washed by batch operations so that it will contain
less than 0.2% salt after drying. In each washing, the sand mixture is mixed with 200
kilograms of water and the resulting saline solution is discarded. The sand mixture
retains 0.5 kilograms of water per kilogram of insoluble sand after each washing. Note
that the mixture is not dried between washings.
(a) How many washings with 200-kg batches of water are required to give the
desired purity of the sand?
Derive a general expression for the weight fraction of salt in the dried
mixture after N washings.
Note that the solubility of salt in water is 35.7 kg salt per 100 kg of water.
(b)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

A STOCK SOLUTION containing 0.1581 g/L K2CrO4 was prepared.In order to make the CALIBRATION STANDARD, 5 ml of the STOCK was transferredinto a 50ml volumetric flask and then diluted with an appropriate solvent.Calculate:(a) The ppm of K2CrO4 in the CALIBRATION STANDARD.(b) The molarity of K2CrO4 in the CALIBRATION STANDARD. (c) Calculate the molar absorptivity of K2CrO4 (at 371.0 nm). Assume that Beer's Law isobeyed over this concentration range.At 371.0 nm, this CALIBRATION STANDARD in a cell of path length 1.00 cm gave a %T of 59.752.
You are required to prepare 5 L of a solution containing 1.000 x 103 mol/L of Cu2"(aq). Which of the following procedures would produce an appropriate solution? O Dissolve 0.0636 g of copper metal in nitric acid, add to a 5.000 Lvolumetric flask, dilute to the mark with deionized water and mix well. O Dissolve 1.248 g of CuSO.5H,0(s) in deionized water, add to a 5.000 L volumetric flask, dilute to the mark with deionized water and mix well. Dissolve 0.250 g of CUSO,.5H,O(s) in deionized water, add to a 5.000 L volumetric flask, dilute to the mark with deionized water and mix well.
A solution is prepared by adding 425g of AgNO3 to 0.150L of water at 40.0∘C. The solubility of AgNO3 at 40.0∘C is 311g100.mL. How many grams of AgNO3 are expected to precipitate if the temperature is dropped to 0.00∘C where the solubility of AgNO3 is only 122g100.mL? Give the answer with three significant figures.
An aqueous solution of beryllium chloride BECl2 is made by dissolving 1.25g of BECl2 in sufficient water in a 200 ml volumetric flsk and then adding enough water to fill the flask to the mark exactly. What is the weight/volume percentage beryllium chloride in the sollution?
A 25mL volumetric pipet is used to deliver a sample of the stock solution marked “0.6000M X2SO4” into a 100mL volumetric flask. Distilled water is added to the flask until it is about 3/4thfull, the solution is mixed well, then more water is added to fill it up to the calibration mark, then it is mixed again. Calculate the concentration of X+ion in the dilute solution made above.
6) Provide a sample calculation for determining the mass of glucose, in milligrams, in the cuvette that contains the assay solution for the 0.02M Glucose Standard. The molecular weight of glucose is 180 g/mol, or 180 mg/mmol.
Ochem question! do I use E2 stereochemistry?
A pipet is used to transfer 5.00 mL of a 1.25 M stock solution in flask “S” to a 25.00-mL volumetric flask “B,” which is then diluted with DI H2O to the calibration mark. The solution is thoroughly mixed. Next, 3.00 mL of the solution in volumetric flask “A” is transferred by pipet to a 50.00-mL volumetric flask “B” and then diluted with DI H2O to the calibration mark. Calculate the molarity of the solution in volumetric flask “B.”
in fractional distillation, how do you tell which liquid is in which fraction and which fraction has a mix of liquids if you are trying to seperate cyclohexane and toluene?? what would the density and boiling point of the first fraction be
7.0 mL of 3.0 M NaOH are diluted with water to a volume of 400 mL. (a) Determine the molarity of the resulting solution. How many moles of NaOH there are in 7.0 mL of 3.0 M NaOH? Hint: Use Eq. 1 and make sure the volume is in liters: MA = mol A / soln (L) OR mol A = MA x V ___________ moles (b) The total number of moles of NaOH is not changed on dilution. The molarity after dilution can therefore be found by MA = mol A / soln (L) OR mol A = MA x V using the final volume of the solution. Calculate that molarity.
A spectrometry method was applied to determine component A in solution. The result is shown in the table. Supposing an unknown sample gives result of 525, 536, 529, please calculate the concentration of A in the sample. \table [[C (u),0.00, 1.00, 2.00, 4.00, 8.00, 16.00], [1, 1.2, 110, 216, 445,869, 1750]] A m J c 1) A spectrometry method was applied to determine component A in solution. The result is shown in the table. Supposing an unknown sample gives result of 525, 536, 529, please calculate the concentration of A in the sample. CA (ug/ml) 0.00 1.00 2.00 4.00 8.00 16.00 I 1.2 110 216 445 869 1750