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
To determine which sample contains the same number of molecules as a sample of nitrogen containing 1.5x10^23 molecules, we need to use the concept of Avogadro's number.
Avogadro's number (represented by the symbol 'N') is defined as the number of atoms, molecules, or particles in one mole of a substance. It is approximately equal to 6.022 × 10^23. This means that one mole of any substance contains 6.022 × 10^23 molecules.
Let's calculate the number of molecules in each given sample to see which one matches the given nitrogen sample.
A. 1.0 mole of H2:
Since 1 mole of any substance contains 6.022 × 10^23 molecules, 1.0 mole of H2 also contains the same number of molecules.
B. 2.0 moles of He:
Similarly, since 1 mole contains 6.022 × 10^23 molecules, 2.0 moles of He would contain twice that number of molecules (2 * 6.022 × 10^23).
C. 0.25 mole of O2:
Again, using the same logic, 0.25 moles of O2 would contain a quarter of the number of molecules found in 1 mole.
D. 0.50 mole of Ne:
Similarly, 0.50 moles of Ne would contain half the number of molecules found in 1 mole.
Comparing the given nitrogen sample with the calculated number of molecules in each option, we find that 1.5x10^23 molecules match the number of molecules in option A, 1.0 mole of H2.
Therefore, the sample containing 1.5x10^23 molecules has the same number of molecules as 1.0 mole of H2. The correct answer is A.