Question

How many C atoms are present in 0.733 mole of Benadryl?

A) 1.753 x 10^23 C atoms
B) 0.733 x 10^23 C atoms
C) 4.414 x 10^22 C atoms
D) 0.733 C atoms

Answer 1

To find the number of C atoms in 0.733 mole of Benadryl, multiply the number of carbon atoms in a molecule of Benadryl (17) by Avogadro's number and by the number of moles (0.733). This yields a total of 1.753 x 10²³ carbon atoms, making the correct answer A) 1.753 x 10²³ C atoms.

Step-by-step explanation:

To determine how many C atoms are present in 0.733 mole of Benadryl, we first need to know the molecular formula of Benadryl. Benadryl is also known as diphenhydramine, which has the chemical formula C17H21NO. Therefore, one molecule of Benadryl contains 17 carbon atoms. To find out the total number of carbon atoms in 0.733 moles of Benadryl, we use Avogadro's number, which is approximately 6.022×10²³ molecules per mole.

The calculation would be as follows:

1. Calculate the number of carbon atoms in one mole of Benadryl: 17 carbon atoms/molecule × 1 mole/molecule (as per Avogadro's number).
   
2. Multiply the number of carbon atoms per mole by the number of moles: 17 × Avogadro's number × 0.733 moles.

Therefore, the total number of carbon atoms in 0.733 moles of Benadryl is:

17 × (6.022×10²³ atoms/mol) × 0.733 mol = 7.733 × 10²³ atoms/mol × 0.733 mol = 1.753 × 10²³ atoms

The correct answer is A) 1.753 x 10²³ C atoms.