High School

A tablet contains 250 mg of calcium chloride (CaCl\(_2\); MW = 111).

A) How many millimoles of calcium are there in 20 tablets? (Round to the whole number)

B) What is the molarity of calcium in millimolar, if 8 tablets are dissolved in water and the volume of the solution is 250 mL? (Round to one decimal place)

C) How many mEq of calcium are there in 15 tablets?

Answer :

Final answer:

A) There are [millimoles of calcium in 20 tablets] millimoles of calcium in 20 tablets.

B) The molarity of calcium in millimolar, if 8 tablets are dissolved in water and the volume of solution is 250mL, is [molarity of calcium].

C) There are [mEq of calcium in 15 tablets] mEq of calcium in 15 tablets.

Explanation:

To calculate the millimoles of calcium in 20 tablets, we need to first calculate the moles of calcium chloride in 20 tablets and then convert it to millimoles of calcium.

A) Moles of calcium chloride in 20 tablets:

  2. Calculate the moles of calcium chloride in one tablet:
  4. Moles of calcium chloride = Mass of calcium chloride / Molecular weight of calcium chloride
  6. Moles of calcium chloride = 250 mg / 111 g/mol
  8. Calculate the moles of calcium chloride in 20 tablets:
  10. Moles of calcium chloride in 20 tablets = Moles of calcium chloride in one tablet * 20

B) Molarity of calcium in millimolar:

  2. Calculate the moles of calcium chloride in 8 tablets:
  4. Moles of calcium chloride = Mass of calcium chloride / Molecular weight of calcium chloride
  6. Moles of calcium chloride = 8 * 250 mg / 111 g/mol
  8. Calculate the molarity of calcium:
  10. Molarity of calcium = Moles of calcium chloride / Volume of solution (in L)
  12. Molarity of calcium = Moles of calcium chloride / 0.25 L

C) Milliequivalents (mEq) of calcium in 15 tablets:

  2. Calculate the moles of calcium chloride in 15 tablets:
  4. Moles of calcium chloride = Mass of calcium chloride / Molecular weight of calcium chloride
  6. Moles of calcium chloride = 15 * 250 mg / 111 g/mol
  8. Calculate the milliequivalents of calcium:
  10. Milliequivalents of calcium = Moles of calcium chloride * 2

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Final answer:

A) 20 tablets contain 45 mmol of calcium. B) The molarity of calcium when eight tablets are dissolved in 250 mL of water is 72 mM. C) 15 tablets contain the equivalent of 17 mEq of calcium.

Explanation:

The chemical formula CaCl2 indicates that there is one mole of calcium for every mole of calcium chloride. Given that the molecular weight (MW) of CaCl2 is 111 g/mol, 250 mg equals 0.00225 mol, i.e., the quantity of calcium in a tablet. A) Therefore, 20 tablets contain 20 x 2.25 mmol = 45 mmol of calcium.

B) In the case where 8 tablets are dissolved in 250 mL of water, the total number of millimoles is 8 x 2.25 mmol = 18 mmol. Because molarity equals millimoles per liter, the molarity of this solution is 18/0.25 = 72 mM. C) One milliequivalent (mEq) of calcium equals 0.5 mmol of calcium because calcium has a valence of +2. So 15 tablets contain 15 x 2.25 x 0.5 = 16.875 mEq of calcium, rounded to 17 mEq.

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