Final answer:
The correct statements about moles are that one mole of H₂O contains the same number of molecules as one mole of H₂, one mole of H₂O contains two moles of H, and the mole is a SI unit for counting particles, albeit with an irrelevant typo in the statement. The false statement is that one mole of H₂O contains only one atom of O, as it actually contains a mole of oxygen atoms.
Step-by-step explanation:
The question revolves around the concept of moles and the comparison between mole quantities of substances such as H₂ and H₂O. When considering the provided options:
- Statement a: One mole of H₂O contains the same number of molecules as one mole of H₂ - This is true because one mole always contains Avogadro's number of particles, which is 6.022 x 10²³, regardless of the substance.
- Statement b: One mole of H₂O contains two moles of H - This is true because each molecule of H₂O consists of two hydrogen atoms, so one mole of water molecules will contain two moles of hydrogen atoms.
- Statement c: The mole is a SI unit for counting atoms, molecules, or ions - This is true as the mole is the standard unit of measurement in chemistry for quantifying large quantities of very small entities such as atoms, ions, or molecules. However, '51' appears to be a typo and should be disregarded.
- Statement d: One mole of H₂O contains one atom of O - This statement is false because one mole of H₂O contains one mole of oxygen atoms, which is 6.022 x 10²³ oxygen atoms, not just one atom.
Therefore, statements a, b, and c are true (ignoring the typo in statement c), while statement d is false.