Number of moles of `CaCO_(3)` which contain 1.5 moles of oxygen atoms is

Options

A. 1.5
B. `1.0`
C. `0.5`
D. `2.0`

Explanation

To find the number of moles of \( \text{CaCO}_3 \) that contain 1.5 moles of oxygen atoms, we can follow these steps:

### Step 1: Understand the composition of \( \text{CaCO}_3 \)
Calcium carbonate (\( \text{CaCO}_3 \)) consists of:
- 1 calcium atom (Ca)
- 1 carbon atom (C)
- 3 oxygen atoms (O)

### Step 2: Determine the number of moles of oxygen in \( \text{CaCO}_3 \)
From the formula of calcium carbonate, we see that 1 mole of \( \text{CaCO}_3 \) contains 3 moles of oxygen atoms.

### Step 3: Set up the relationship between moles of \( \text{CaCO}_3 \) and moles of oxygen
If 1 mole of \( \text{CaCO}_3 \) contains 3 moles of oxygen, we can express the relationship as:
\[ \text{Moles of } \text{CaCO}_3 = \frac{\text{Moles of oxygen}}{3} \]

### Step 4: Substitute the given value
We are given that there are 1.5 moles of oxygen atoms. We can substitute this value into the equation:
\[ \text{Moles of } \text{CaCO}_3 = \frac{1.5}{3} \]

### Step 5: Calculate the moles of \( \text{CaCO}_3 \)
Now, we perform the calculation:
\[ \text{Moles of } \text{CaCO}_3 = \frac{1.5}{3} = 0.5 \]

### Conclusion
Thus, the number of moles of \( \text{CaCO}_3 \) that contain 1.5 moles of oxygen atoms is **0.5 moles**.

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