Question

the mass and volume of each sample differ from the mass and volume of the other samples. is it possible for each sample to contain 1 mol of each substance?
○ no, because they have different masses.
○ no, because they have different volumes.
○ yes, if each sample contains 6.02 × 10²³ atoms.
○ yes, if each sample contains 2 amu.

Explanation:

1. Recall the definition of a mole: 1 mole of any substance contains \(6.02\times10^{23}\) particles (atoms, molecules, ions, etc.).
2. Analyze each option:

• Option 1: Mass of 1 mole varies by substance (molar mass), so different masses don’t rule out 1 mole. Eliminate.
• Option 2: Volume of 1 mole (molar volume) varies by state/conditions, so different volumes don’t rule out 1 mole. Eliminate.
• Option 3: If each sample has \(6.02\times10^{23}\) atoms (or particles), that’s 1 mole. This matches the mole definition.
• Option 4: 2 amu is a tiny mass (e.g., 2 amu for a particle, not related to 1 mole of substance). Eliminate.

Answer:

Yes, if each sample contains \(6.02\times 10^{23}\) atoms. (The option corresponding to this statement, e.g., the third option in the list: "Yes, if each sample contains \(6.02\times 10^{23}\) atoms.")