Your company uses large amounts of ammonium chloride in its industrial processes

Question

Your company uses large amounts of ammonium chloride in its industrial processes. The president's nephew's brother in law has found a mixture of sand (SiO2), salt (NaCl), and ammonium chloride (NH4Cl) at a fire sale and has offered to sell it to your company for $450/quarter ton. Your supervisor needs to know whether the company should buy this mixture or not. In orcer to make this decision, she needs to know the percetages of each of the ingredients in the mixture, as well as the cost of the ammonium chloride in the mix.  (She needs to know the percentages of the other ingredients in case a market can be found for them.)  Therefore, your assignment is to find, as accurately as possible

The cost , per ton of the ammonium cholride in the mix

the cost , per ton of pure ammonium chloride (the company is currently paying $183.10 for 12 kg)

You don't need to consider the cose of seperation - another group will be given that task.

(My calculations in the lab of the mixture)

2 grams of the mixture

1.1629 grams after NH4Cl has been evaporated out of the mixture.
.4957 after the sand has been drained from the salt water.


Mass of each substance
NH4Cl = .8371 g
NaCl = .6672
SiO2 = .4957

Percentages of each compound in the mixture:

Nh4Cl = 41.855%
Salt and Sand together = 58.145%
NaCl = 33.36%
SiO2 = 24.79%

Please solve for the underlined section thoroughly showing your work

Explanation / Answer

Nh4Cl % = 41.855

hence to get 1 ton NH4Cl amount of mixture needed = ( 100/41.855) x 1 ton = 2.3892 tons

cost for quater ton = 450$ , cost for full ton = 450 x4 = 1800 $

now total cost req for 1 ton NH4Cl = ( 2.3892 x 1800) = 4300.56 $

company payment = 183.1 $ per 12 kg

for 10^3 kgs cost = (183.1 x1000/12) = 15258.33

yes we can buy , since company pays more than the cost of NH4Cl in mix

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