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Topic: Dimensional Analysis Problem!  (Read 2932 times)

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Offline weskerlee321

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Dimensional Analysis Problem!
« on: January 24, 2009, 07:00:50 PM »
You are in the business of selling table salt, and you are looking into the formulation of iodized salt.  Iodine is a required nutrient, which is lacking in some people's normal diets.  Iodized salt typically contains potassium iodide as a trace additive to the sodium chloride normally present.  The US Recommended Daily Allowance of iodine for adults is 150 micrograms of iodine per day.  The recommended intake of sodium is 500 milligrams per day minimum, with a maximum of 2400 milligrams per day.  You can obtain food-grade potassium iodide in bulk for $3506 per 100 pound drum.  You normally sell your product packaged in 26 ounce containers.  Assume that your product is otherwise pure sodium chloride.  Recognize that potassium iodide, a compound, is only 76.45% iodine by mass and sodium chloride is 39.34% sodium by mass.
(1 LB=16 OZ)

(a) You have decided to formulate your product with 75 micrograms of potassium iodide per gram of product.  How many packages can you prepare from one drum of potassium iodide?  Considering only the price of obtaining the material, how much does this add to your cose, for each package?

(b) Reconsider the formulation of your product.  Assume that your customers will obtain half their minimum daily intake of sodium from your product, with no other source of iodine in their diet.  How much potassium iodide should you include per gram of your product to meet their needs?


For (a), i got 1 ug KI = $ 7.73 x 10^(-8), then i have no idea what the next step is..

Offline Arkcon

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Re: Dimensional Analysis Problem!
« Reply #1 on: January 24, 2009, 09:14:08 PM »
Your assigned problem gives you lots of information, some of which you don't need to solve these two questions.  Here's a tip, can you rewrite the given data line by line, instead of as a paragraph, so you can see the info more clearly.  Also, I recognize you need to learn dimensional analysis, but can you solve this puzzle some other way?  Especially part A.
Hey, I'm not judging.  I just like to shoot straight.  I'm a man of science.

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