Co304 is used to prepare cobalt metal for high temperature superalloys.

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Co304 is used to prepare cobalt metal for high temperature superalloys. Its molar mass is 241 g/mol. Calculate the following quantities: 1. The molar mass of cobalt (Co) is 58.9 g/mol. 2. Mass percent Co in Co304. 3. Moles of Co3O4 in 777 grams of Co304. 4. Moles of Co in 0.693 moles of Co304. 5. Mass of 0.434 moles of Co304. 6. Mass of Co in 3162 grams of Co304.

The Correct Answer and Explanation is:

Let’s break down each part of the question step by step:

  1. Molar mass of cobalt (Co):
    The molar mass of cobalt (Co) is provided as 58.9 g/mol.
  2. Mass percent of Co in Co3O4:
    To find the mass percent of Co in Co3O4, we need to calculate the mass of cobalt in one mole of Co3O4 and then divide that by the molar mass of Co3O4.
    • Molar mass of Co3O4 = 3 * (58.9 g/mol) + 4 * (16.00 g/mol) = 176.7 g + 64.00 g = 240.7 g/mol.
    • The mass of cobalt in one mole of Co3O4 is: 3 * (58.9 g) = 176.7 g.
    • Mass percent of Co in Co3O4 = (Mass of Co / Molar mass of Co3O4) * 100 = (176.7 g / 240.7 g) * 100 = 73.4%.
  3. Moles of Co3O4 in 777 grams of Co3O4:
    To find the moles of Co3O4 in 777 grams:
    • Moles of Co3O4 = mass / molar mass = 777 g / 241 g/mol = 3.22 mol.
  4. Moles of Co in 0.693 moles of Co3O4:
    The ratio of cobalt (Co) to Co3O4 is 3:1, meaning there are 3 moles of Co for every 1 mole of Co3O4.
    • Moles of Co = 0.693 mol Co3O4 * 3 = 2.08 mol Co.
  5. Mass of 0.434 moles of Co3O4:
    To find the mass of 0.434 moles of Co3O4:
    • Mass = moles * molar mass = 0.434 mol * 241 g/mol = 104.5 g.
  6. Mass of Co in 3162 grams of Co3O4:
    The mass of cobalt in Co3O4 can be found by multiplying the mass of Co3O4 by the mass percent of Co:
    • Mass of Co = 3162 g * (73.4% / 100) = 3162 g * 0.734 = 2323.3 g.

Summary of Results:

  1. Molar mass of Co: 58.9 g/mol.
  2. Mass percent Co in Co3O4: 73.4%.
  3. Moles of Co3O4 in 777 g of Co3O4: 3.22 mol.
  4. Moles of Co in 0.693 mol of Co3O4: 2.08 mol.
  5. Mass of 0.434 mol of Co3O4: 104.5 g.
  6. Mass of Co in 3162 g of Co3O4: 2323.3 g.

This set of calculations provides the various quantities based on the given molar masses and stoichiometry.

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