How many moles are in 1.50 x 1023 molecules NH3?
A.
2.49 x 10 -1 mol NH3
B.
2.49 x 101 mol NH3
C.
2.65 x 10 -1 mol NH3
D.
2.78 x 10 1 mol NH3
1 mol contains 6.02
E23 molecules.
To find the number of moles in 1.50 x 10^23 molecules of NH3, we can use Avogadro's number, which states that 1 mole of any substance contains 6.022 x 10^23 particles.
Given:
Number of molecules (N) = 1.50 x 10^23 molecules
To calculate the number of moles (n), we can use the formula:
n = N / (Avogadro's number)
Substituting the values:
n = 1.50 x 10^23 molecules / (6.022 x 10^23 molecules/mol)
Simplifying and rounding the answer to two significant figures gives us:
n ≈ 0.25 mol NH3
Therefore, the correct answer is option A: 2.49 x 10^-1 mol NH3.
To find the number of moles in a given number of molecules, you need to use Avogadro's number, which states that there are 6.022 x 10^23 particles in one mole of a substance.
In this case, you are given 1.50 x 10^23 molecules of NH3. To convert this to moles, divide the number of molecules by Avogadro's number:
1.50 x 10^23 molecules NH3 / 6.022 x 10^23 molecules/mol = 0.249 mol NH3
The correct answer is therefore:
A. 2.49 x 10^-1 mol NH3