How many moles of oxygen, O2, are in a sample containing 1.43 x 10^24 molecules of O2?
A) 0.421 mol
B) 2.37mol
C) 4.74mol
D) 8.61 x 10^47mol
E) 1.16 x 10^-48mol
So I did the number divided the number of molecules of O2(1.43 x 10^24) by Avogadro's number(6.022 x 10^23).
I get B) 2.37mol. However, should I multiply this answer by 2 which will give me C) 4.74mol.
No. There are 6.022E23 MOLECULES of O2 in 1 mole of O2 so the answer is in MOLES of O2. Multiplying by 2 gives you the MOLES of O ATOMS.
So B) 2.37 is the correct answer?
I didn't do the math but 1.43E24/6.022E23 = ?
Yes
0.0166 mol
To determine the number of moles of oxygen in a sample containing a given number of molecules, you can use Avogadro's number, which relates the number of particles (molecules or atoms) to the number of moles.
Given:
Number of molecules of O2 = 1.43 x 10^24
To find the number of moles, divide the number of molecules by Avogadro's number:
Number of moles = (Number of molecules) / Avogadro's number
= (1.43 x 10^24) / (6.022 x 10^23)
When you perform this calculation, you should get the value of approximately 2.37. This means that the correct answer to the question is B) 2.37 moles.
There is no need to multiply this answer by 2. The subscript 2 in O2 indicates that each molecule of oxygen consists of two oxygen atoms. Thus, the number of moles already accounts for the fact that each mole of O2 contains two moles of oxygen atoms.
Therefore, the correct answer is B) 2.37 mol.