true/false

Question

If we have 1 mole of Mg, we have 6.02 x 10 ^23 atoms of Mg.
1 mole of C = 6.02 x 10 ^23 atoms of C
1 dozen beans = 13 beans
12.0 g C contains 6.02 x 10 ^ 23 atoms of C.

Answer 1

Let's evaluate each of the statements:

1. If we have 1 mole of Mg, we have 6.02 x 10^23 atoms of Mg.
   True. This is correct, as 1 mole of any substance contains Avogadro's number of entities (atoms, molecules, etc.), which is approximately \(6.02 \times 10^{23}\).

2. 1 mole of C = 6.02 x 10^23 atoms of C.
   True. Similar to the first statement, 1 mole of carbon also contains \(6.02 \times 10^{23}\) atoms.

3. 1 dozen beans = 13 beans.
   False. A dozen is defined as 12, so 1 dozen beans equals 12 beans.

4. 12.0 g C contains 6.02 x 10^23 atoms of C.
   False. This statement is not correct because 12.0 g of carbon corresponds to 1 mole of carbon, which contains \(6.02 \times 10^{23}\) atoms. However, for the statement as worded, it lacks specificity indicating it is referring to a specific amount of carbon with respect to atomic mass; therefore, it's incorrect in a strict interpretation.

So, to summarize:

1. True
2. True
3. False
4. False