To calculate the mass of each constituent element (calcium, carbon, and oxygen) in grams in calcium carbonate (\(CaCO_3\)), you can use the given percentages. Here are the steps:
1. **Assume a total mass:** Let's assume that we have 100 grams of calcium carbonate. This is a common assumption that makes the percentage calculations straightforward.
2. **Calculate the mass of each element:**
- \( \text{Mass of calcium (Ca)} = 40\% \) of 100 grams.
- \( \text{Mass of carbon (C)} = 12\% \) of 100 grams.
- \( \text{Mass of oxygen (O)} = 48\% \) of 100 grams.
3. **Convert percentages to masses:**
- \( \text{Mass of Ca} = 0.4 \times 100 \) grams.
- \( \text{Mass of C} = 0.12 \times 100 \) grams.
- \( \text{Mass of O} = 0.48 \times 100 \) grams.
4. **Check conservation of mass:**
Ensure that the masses of the individual elements add up to the total mass of calcium carbonate.
Calculate these values to find the mass of each constituent element in grams.
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Answer:
To calculate the mass of each constituent element (calcium, carbon, and oxygen) in grams in calcium carbonate (\(CaCO_3\)), you can use the given percentages. Here are the steps:
1. **Assume a total mass:** Let's assume that we have 100 grams of calcium carbonate. This is a common assumption that makes the percentage calculations straightforward.
2. **Calculate the mass of each element:**
- \( \text{Mass of calcium (Ca)} = 40\% \) of 100 grams.
- \( \text{Mass of carbon (C)} = 12\% \) of 100 grams.
- \( \text{Mass of oxygen (O)} = 48\% \) of 100 grams.
3. **Convert percentages to masses:**
- \( \text{Mass of Ca} = 0.4 \times 100 \) grams.
- \( \text{Mass of C} = 0.12 \times 100 \) grams.
- \( \text{Mass of O} = 0.48 \times 100 \) grams.
4. **Check conservation of mass:**
Ensure that the masses of the individual elements add up to the total mass of calcium carbonate.
Calculate these values to find the mass of each constituent element in grams.