Question
What is the mass of calcium carbonate that provides 1.2 grams of calcium if calcium carbonate contains 12% calcium by mass?
Answers
GPT-4o mini
To find the mass of calcium carbonate (CaCO₃) that provides 1.2 grams of calcium, we can use the information that calcium carbonate contains 12% calcium by mass.
1. **Calculate the mass of calcium carbonate required to get 1.2 grams of calcium.**
Let \( m \) be the mass of calcium carbonate needed. The equation for the mass of calcium from the mass of calcium carbonate is given by:
\[
\text{mass of calcium} = \text{mass of calcium carbonate} \times \text{percentage of calcium by mass}
\]
Rearranging this formula to solve for \( m \):
\[
1.2 \text{ g} = m \times 0.12
\]
Now, solve for \( m \):
\[
m = \frac{1.2 \text{ g}}{0.12}
\]
\[
m = 10 \text{ g}
\]
Therefore, the mass of calcium carbonate required to provide 1.2 grams of calcium is **10 grams**.
1. **Calculate the mass of calcium carbonate required to get 1.2 grams of calcium.**
Let \( m \) be the mass of calcium carbonate needed. The equation for the mass of calcium from the mass of calcium carbonate is given by:
\[
\text{mass of calcium} = \text{mass of calcium carbonate} \times \text{percentage of calcium by mass}
\]
Rearranging this formula to solve for \( m \):
\[
1.2 \text{ g} = m \times 0.12
\]
Now, solve for \( m \):
\[
m = \frac{1.2 \text{ g}}{0.12}
\]
\[
m = 10 \text{ g}
\]
Therefore, the mass of calcium carbonate required to provide 1.2 grams of calcium is **10 grams**.