A sample of nitrogen containing 1.5x10^23 molecules has the same number of molecules as a sample containing
A. 1.0 mole of H2
B. 2.0 moles of He
C. 0.25 mole of O2
D. 0.50 mole of Ne
D) 0.50 mole of Ne
To determine which sample has the same number of molecules as the given nitrogen sample, we need to use Avogadro's number, which states that 1 mole of any substance contains 6.022 × 10^23 molecules.
Given that the nitrogen sample contains 1.5 × 10^23 molecules, we can compare it to the number of molecules in each of the other samples.
A. 1.0 mole of H2:
1.0 mole of H2 contains 6.022 × 10^23 molecules, which is not equivalent to the given nitrogen sample. Therefore, option A is not correct.
B. 2.0 moles of He:
2.0 moles of He contains 2 × (6.022 × 10^23) molecules, which is not equivalent to the given nitrogen sample. Therefore, option B is not correct.
C. 0.25 mole of O2:
0.25 mole of O2 contains 0.25 × (2 × 6.022 × 10^23) molecules, which is equivalent to (0.25 × 2) × 6.022 × 10^23 molecules = 0.5 × 6.022 × 10^23 molecules = 3.011 × 10^23 molecules. This is not the same as the given nitrogen sample. Therefore, option C is not correct.
D. 0.50 mole of Ne:
0.50 mole of Ne contains 0.5 × 6.022 × 10^23 molecules, which is equivalent to (0.5) × 6.022 × 10^23 molecules = 3.011 × 10^23 molecules. This is the same as the given nitrogen sample. Therefore, option D is correct.
So, the sample containing 0.50 mole of Ne has the same number of molecules as the given nitrogen sample.
To determine the answer, you need to compare the given sample of nitrogen to the samples of different substances and determine which one has the same number of molecules.
The number of molecules in a sample can be calculated using Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol.
In this case, you have a sample of nitrogen containing 1.5 x 10^23 molecules.
To find the number of moles in the nitrogen sample, you would divide the number of molecules by Avogadro's number:
Number of moles = Number of molecules / Avogadro's number
Number of moles of nitrogen = (1.5 x 10^23) / (6.022 x 10^23) = 0.249 moles
Now, you can compare this with the given options:
A. 1.0 mole of H2:
Since the number of moles of nitrogen is less than 1.0 mole, Option A is not correct.
B. 2.0 moles of He:
Since the number of moles of nitrogen is less than 2.0 moles, Option B is not correct.
C. 0.25 mole of O2:
Since the number of moles of nitrogen is equal to 0.25 moles, Option C is the correct answer.
D. 0.50 mole of Ne:
Since the number of moles of nitrogen is less than 0.50 moles, Option D is not correct.
Therefore, the sample of nitrogen with 1.5 x 10^23 molecules has the same number of molecules as a sample containing 0.25 mole of O2, so the correct answer is Option C.