Determine the amount of SiO2, carbon, silicon and carbon monoxide present after the reaction has taken place

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Silicon, which occurs in nature as SiO2, is the material from which most computer chips are made. If SiO2 is heated until it melts into a liquid, it reacts with solid carbon to form liquid silicon and carbon monoxide gas. In an industrial preparation of silicon, 52.8 kg of SiO2 reacts with 25.8 kg of carbon to produce 22.4 kg of silicon. Determine the amount of SiO2, carbon, silicon and carbon monoxide present after the reaction has taken place.

  • this is what I figured out. I just need help finding the amount of SiO2, carbon, silicon and carbon monoxide present after the reaction has taken place.
  • data given -

    Mass of SiO2 = 52.8 Kg = 52800 g.

    Mass of carbon = 25.8 Kg = 25800 g.

    Actual yield of silicon = 22.4 Kg = 22400 g.

    Molar mass of SiO2 = 60.085 g/mol

    Molar mass of Carbon = 12g/mol

    Molar mass of Si = 28.085 g/mol

    amount of SiO2 = ?

    amount of carbon = ?

    amount ofsilicon = ?

  • calculation -

    the balanced equation

    SiO2 + 2C → Si + 2CO

    This means for 1 mole of SiO2 consumed, we need 2 moles of Carbon to produce 1 mole of Silicon and 2 moles of CO

     Calculate moles of SiO2

    Number of moles = mass of SiO2 / Molar mass of SiO2

    Number of moles SiO2 = 52800 grams / 60.085 g/mol

    Number of moles SiO2 = 878.75 moles

  • Calculate moles of Carbon

    Number of moles = mass of C / Molar mass of C

    Number of moles C = 25800 grams / 12 g/mol

    Number of moles C = 2150 moles

    Calculate moles of silicon

    Number of moles = mass of Si / Molar mass of Si

    Number of moles Si = 22400grams / 28.085 g/mol

    Number of moles Si = 797.58moles

  • would this be my answer because I am stuck here.
  • Possible answer: the amount of SiO2, carbon, silicon  present after the reaction has taken place is 878.75 moles, 2150 moles and 797.58 moles.
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