How many atoms are in 3.14 mol of methane (CH4)?
A. 7.56 x 1023 atoms
B. 7.56 x 102 atoms
C. 7.56 x 104 atoms
D. 7.56 x 1024 atoms
D
I don't think D is the right answer. Post your work.
The answer is in fact, D. No work has to be done here, just several inputs into the calculator should suffice. To begin, you already have moles, so that makes things much easier. Now from moles, you go to atoms with the conversion of (6.022e23 atoms/ 1 mole) and you'll get 7.56e24, and so the answer to this problem is D.
To determine the number of atoms in a given number of moles of a substance, you need to use Avogadro's number, which is 6.022 x 10^23 atoms per mole.
In this case, we have 3.14 moles of methane (CH4). To find the number of atoms, multiply the number of moles by Avogadro's number:
Number of atoms = 3.14 mol * 6.022 x 10^23 atoms/mol
Now let's calculate it:
Number of atoms = 1.88428 x 10^24 atoms
Therefore, the correct answer is option D. There are approximately 7.56 x 10^24 atoms in 3.14 mol of methane (CH4).
To determine the number of atoms in 3.14 mol of methane (CH4), you will need to use Avogadro's number, which is 6.022 x 10^23 atoms per mole.
First, calculate the number of atoms in 1 mole of methane by multiplying Avogadro's number (6.022 x 10^23) by the number of moles (1):
1 mol x 6.022 x 10^23 atoms/mol = 6.022 x 10^23 atoms
Then, multiply the number of atoms in 1 mole by the number of moles you have (3.14):
6.022 x 10^23 atoms/mol x 3.14 mol = 1.89 x 10^24 atoms
Therefore, the correct answer is D. 7.56 x 10^24 atoms