Linus Pauling (Recipient of two noble prizes one for chemistry and another for peace)Wrote a book, “Vitamin C and the common cold”,  which propose that large doses of vitamin C can cure the common cold. One commercial over-the-counter product consist of 500.5 MG tablets that are 20.0% by mass vitamin C. How many of these tablets are needed for a 1.0 g dose of vitamin C? Each 500. Zero MG tablet cost two cents. If you can’t take a 1000. Zero MG tablet of pro vitamin C for $.13 a tablet, which would be more cost efficient ?

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Asked Aug 25, 2019
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Linus Pauling (Recipient of two noble prizes one for chemistry and another for peace)Wrote a book, “Vitamin C and the common cold”,  which propose that large doses of vitamin C can cure the common cold. One commercial over-the-counter product consist of 500.5 MG tablets that are 20.0% by mass vitamin C. How many of these tablets are needed for a 1.0 g dose of vitamin C? Each 500. Zero MG tablet cost two cents. If you can’t take a 1000. Zero MG tablet of pro vitamin C for $.13 a tablet, which would be more cost efficient ?

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Expert Answer

Step 1

Given, one 500.5 mg tablet contains 20% by mass Vitamin C. The mass of vitamin C in one 500.5 mg tablet can be calculated as:

Mass of vitamin C
20.0% of 500.5 mg
20
x 500.5 mg
100
Mass of vitamin C =
Mass of vitamin C = 100.1 mg = 0.1 g
(since 1 mg = 0.001 g)
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Mass of vitamin C 20.0% of 500.5 mg 20 x 500.5 mg 100 Mass of vitamin C = Mass of vitamin C = 100.1 mg = 0.1 g (since 1 mg = 0.001 g)

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Step 2

Since, 1 tablet contains 0.1 g of vitamin C. Therefore, no. of tablets needed for a 1.0 g dose of vitamin C can be calculated as:

1
No. of tablets for 1 g dose of vitamin C =
1g = 10 tablets
X
0.1 g
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1 No. of tablets for 1 g dose of vitamin C = 1g = 10 tablets X 0.1 g

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Step 3

Given, one 500.0 mg tablet cost 2 cents and a 10...

One 1000.0 mg tablet of pro vitamin C cost = 13 x 100 cents (1$ = 100 cents)
= 13 cents
13 cents
x 500.0 mg
So, one 500.0 mg tablet of pro vitamin C will cost=
7.5 cents
1000.0 mg
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One 1000.0 mg tablet of pro vitamin C cost = 13 x 100 cents (1$ = 100 cents) = 13 cents 13 cents x 500.0 mg So, one 500.0 mg tablet of pro vitamin C will cost= 7.5 cents 1000.0 mg

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