A 2000 gm sample of `CaCO_(3)` is 80 % pure. Find weight
( in gram ) of pure `CaCO_(3)`

Answer

To solve the problem of finding the weight of pure CaCO₃ in a 2000 gm sample that is 80% pure, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the purity percentage**: The sample is stated to be 80% pure. This means that out of the total weight of the sample, 80% of it is pure CaCO₃.

2. **Calculate the weight of pure CaCO₃**: To find the weight of pure CaCO₃, we can use the formula:
\[ \text{Weight of pure CaCO₃} = \text{Total weight of sample} \times \left(\frac{\text{Purity percentage}}{100}\right) \]
Here, the total weight of the sample is 2000 gm and the purity percentage is 80%.

3. **Substitute the values into the formula**:
\[ \text{Weight of pure CaCO₃} = 2000 \, \text{gm} \times \left(\frac{80}{100}\right) \]

4. **Perform the calculation**:
\[ \text{Weight of pure CaCO₃} = 2000 \, \text{gm} \times 0.8 = 1600 \, \text{gm} \]

5. **Conclusion**: The weight of pure CaCO₃ in the 2000 gm sample is 1600 gm.

### Final Answer:
The weight of pure CaCO₃ is **1600 grams**.

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