One gram mole, one gram molecule, and one gram molecular mass have the........meaning.

Answer

To understand the meanings of one gram mole, one gram molecule, and one gram molecular mass, let's break down each term step by step.

### Step 1: Understanding One Gram Mole
- **Definition**: One gram mole (or simply one mole) of a substance is defined as the amount of that substance that contains exactly \(6.022 \times 10^{23}\) entities (atoms, molecules, ions, etc.). This number is known as Avogadro's number.
- **Example**: For example, one mole of oxygen gas (O₂) contains \(6.022 \times 10^{23}\) molecules of oxygen.

### Step 2: Understanding One Gram Molecule
- **Definition**: One gram molecule refers to one mole of molecules. This is essentially the same as one gram mole but emphasizes that we are specifically talking about molecules.
- **Example**: Again, for oxygen gas (O₂), one gram molecule means one mole of O₂, which is \(6.022 \times 10^{23}\) molecules of O₂.

### Step 3: Understanding One Gram Molecular Mass
- **Definition**: One gram molecular mass is the mass of one mole of molecules of a substance expressed in grams. This is numerically equal to the molecular weight of the substance in atomic mass units (amu).
- **Example**: For oxygen (O₂), the molecular mass is 32 grams per mole. Therefore, one gram molecular mass of oxygen means that one mole of oxygen weighs 32 grams.

### Summary of Meanings
- **One Gram Mole**: 1 mole = \(6.022 \times 10^{23}\) entities (atoms/molecules).
- **One Gram Molecule**: 1 mole of molecules = \(6.022 \times 10^{23}\) molecules.
- **One Gram Molecular Mass**: The mass of one mole of molecules in grams (e.g., for O₂, it's 32 grams).

### Final Answer
One gram mole, one gram molecule, and one gram molecular mass have the same meaning in terms of quantity (both refer to one mole of a substance), while one gram molecular mass specifically refers to the mass of that mole in grams.

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