Calculate the mass of
(i) 2.5 gram molecules of `H_(2)S` (ii) 3.6 gram molecules of glucose (`C_(6)H_(12)O_(6)`)

Explanation

To solve the problem of calculating the mass of given gram molecules of H₂S and glucose (C₆H₁₂O₆), we can follow these steps:

### Step 1: Understand the Concept of Gram Molecules
A gram molecule refers to one mole of a substance. Therefore, when we are given "2.5 gram molecules of H₂S", it means we have 2.5 moles of H₂S. Similarly, "3.6 gram molecules of glucose" means we have 3.6 moles of glucose.

### Step 2: Calculate the Molar Mass of H₂S
To find the mass of H₂S, we first need to calculate its molar mass:
- Hydrogen (H) has an atomic mass of approximately 1 g/mol. Since there are 2 hydrogen atoms in H₂S, their total mass is:
\[ 2 \times 1 = 2 \text{ g/mol} \]
- Sulfur (S) has an atomic mass of approximately 32 g/mol.
- Therefore, the molar mass of H₂S is:
\[ 2 + 32 = 34 \text{ g/mol} \]

### Step 3: Calculate the Mass of 2.5 Moles of H₂S
Now, we can calculate the mass of 2.5 moles of H₂S using the formula:
\[ \text{Mass} = \text{Number of moles} \times \text{Molar mass} \]
Substituting the values:
\[ \text{Mass of H₂S} = 2.5 \text{ moles} \times 34 \text{ g/mol} = 85 \text{ grams} \]

### Step 4: Calculate the Molar Mass of Glucose (C₆H₁₂O₆)
Next, we calculate the molar mass of glucose:
- Carbon (C) has an atomic mass of approximately 12 g/mol. There are 6 carbon atoms in glucose:
\[ 6 \times 12 = 72 \text{ g/mol} \]
- Hydrogen (H) has an atomic mass of approximately 1 g/mol. There are 12 hydrogen atoms in glucose:
\[ 12 \times 1 = 12 \text{ g/mol} \]
- Oxygen (O) has an atomic mass of approximately 16 g/mol. There are 6 oxygen atoms in glucose:
\[ 6 \times 16 = 96 \text{ g/mol} \]
- Therefore, the molar mass of glucose is:
\[ 72 + 12 + 96 = 180 \text{ g/mol} \]

### Step 5: Calculate the Mass of 3.6 Moles of Glucose
Now, we can calculate the mass of 3.6 moles of glucose:
\[ \text{Mass of glucose} = 3.6 \text{ moles} \times 180 \text{ g/mol} = 648 \text{ grams} \]

### Final Answers
- The mass of 2.5 gram molecules of H₂S is **85 grams**.
- The mass of 3.6 gram molecules of glucose is **648 grams**.

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