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28 December, 09:48

2. Answer the following questions about a sample of calcium phosphate:

a. What is the molecular weight of Ca3 (PO4) 2?

b. How many moles of Ca3 (PO4) 2are in 1350g?

c. How many molecules of Ca3 (PO4) 2 are there in 1350g?

d. How many phosphorus atoms are there in 1350g of Ca3 (PO4) 2?

e. How many moles of calcium are there in 1350 g of Ca3 (PO4) 2?

f. What is the mass of 2.1 x 1025molecules of Ca3 (PO4) 2?

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Answers (1)
  1. 28 December, 10:04
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    a) 310.18 g/mol

    b) 4.352 moles Ca3 (PO4) 2

    c) 2.6 * 10^24 molecules

    d) 5.24 * 10^24 P atoms

    e) 13.056 moles Ca

    f) 10825.3 grams

    Explanation:

    Step 1: Data given

    Atomic mass of Ca = 40.08 g/mol

    Atomic mass of P = 30.97 g/mol

    Atomic mass of O = 16.0 g/mol

    Step 2: Calculate molecular weight of Ca3 (PO4) 2

    Molecular weight of Ca3 (PO4) 2 = 3*atomic mass of Ca + 2 * atomic mass of P and 8 * atomic mass of O

    Molecular weight of Ca3 (PO4) 2 = 3*40.08 + 2*30.97 + 8*16.0 = 310.18 g/mol

    Step 3: Calculate moles of Ca3 (PO4) 2 in 1350 grams

    Moles Ca3 (PO4) 2 = mass Ca3 (PO4) 2 / molar mass

    Moles Ca3 (PO4) 2 = 1350 grams / 310.18 g/mol

    Moles Ca3 (PO4) 2 = 4.352 moles

    Step 4: Calculate molecules in 1350 grams

    Molecules = moles * number of Avogadro

    Molecules = 4.352 moles * 6.02 * 10^23

    Molecules = 2.6 * 10^24 molecules

    Step 5: Calculate moles Phosphorus

    For 1 mol Ca3 (PO4) 2 we need 2 moles P

    For 4.352 moles Ca3 (PO4) 2 we have 2*4.352 = 8.704 moles

    Step 6: Calculate P atoms

    Atoms P = 8.704 moles * 6.02*10^23

    Atoms P = 5.24 * 10^24 P atoms

    Step 7: Calculate moles Calcium in 1350 grams

    For 1 mol Ca3 (PO4) 2 we have 3 moles Ca

    For 4.352 moles we have 3*4.352 = 13.056 moles Ca

    Step 8: Calculate mass of 2.1 * 10^25 molecules of Ca3 (PO4) 2

    Moles Ca3 (PO4) 2 = 2.1 * 10^25 / 6.02 * 10^23

    Moles Ca3 (PO4) 2 = 34.9 moles

    Mass Ca3 (PO4) 2 = 34.9 moles * 310.18 g/mol

    Mass Ca3 (PO4) 2 = 10825.3 grams
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