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How many grams of sodium contain the same number of atoms as 17.5 grams of chlorine. Report ONLY NUMERIC ANSWER in correct sig figs 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.  1 pointYour answer

Question

How many grams of sodium contain the same number of atoms as 17.5 grams of chlorine. Report ONLY NUMERIC ANSWER in correct sig figs 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.  1 pointYour answer

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Solution

To solve this problem, we need to use the concept of moles.

  1. First, we need to convert the mass of chlorine to moles. The molar mass of chlorine (Cl) is approximately 35.5 g/mol. So,

    17.5 g Cl * (1 mol Cl / 35.5 g Cl) = 0.493 mol Cl

  2. The number of atoms in a mole is constant for all elements and is known as Avogadro's number (6.022 x 10^23 atoms/mol). So, the number of atoms in 0.493 mol Cl is:

    0.493 mol Cl * (6.022 x 10^23 atoms / 1 mol) = 2.97 x 10^23 atoms

  3. Now, we need to find the mass of sodium (Na) that contains this same number of atoms. The molar mass of sodium is approximately 23.0 g/mol. So,

    2.97 x 10^23 atoms * (1 mol / 6.022 x 10^23 atoms) * (23.0 g / 1 mol) = 11.4 g

So, 11.4 grams of sodium contain the same number of atoms as 17.5 grams of chlorine.

This problem has been solved

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