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What is the mass in grams of 1 molecule of carbon tetrachloride, CCl4?  Write only NUMERIC ANSWER with no units (and in correct SF) to earn computer credit. You must show complete dimensional analysis with all units properly labelled, if it comes as a short answer on your test.

Question

What is the mass in grams of 1 molecule of carbon tetrachloride, CCl4?  Write only NUMERIC ANSWER with no units (and in correct SF) to earn computer credit. You must show complete dimensional analysis with all units properly labelled, if it comes as a short answer on your test.

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Solution

To find the mass of one molecule of carbon tetrachloride (CCl4), we first need to find the molar mass of CCl4.

  1. Determine the molar mass of CCl4:

    • Carbon (C) has a molar mass of 12.01 g/mol.
    • Chlorine (Cl) has a molar mass of 35.45 g/mol. Since there are 4 chlorine atoms in CCl4, the total molar mass of chlorine in CCl4 is 35.45 g/mol * 4 = 141.8 g/mol.
    • Therefore, the molar mass of CCl4 is 12.01 g/mol (for C) + 141.8 g/mol (for Cl) = 153.81 g/mol.
  2. Convert the molar mass to the mass of one molecule:

    • Avogadro's number (6.022 x 10^23) is the number of entities (such as atoms or molecules) in one mole. Therefore, one mole of CCl4 contains 6.022 x 10^23 molecules.
    • To find the mass of one molecule, we divide the molar mass by Avogadro's number: 153.81 g/mol / 6.022 x 10^23 molecules/mol = 2.55 x 10^-22 g/molecule.

So, the mass of one molecule of CCl4 is approximately 2.55 x 10^-22 grams.

This problem has been solved

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