Answer:
The percent of CaCO₃ in the sample is 75%.
Explanation:
We can find the percent of CaCO₃ in the sample knowing that 30 g of Ca are present in 100 g of CaCO₃.
First, we need to find the number of moles of Ca, and since the ratio of Ca in CaCO₃ is 1:1 we can find the percent of CaCO₃ in the sample as follows:
[tex] mol CaCO_{3} = mol Ca = \frac{30 g}{40 g/ 1 mol} = 0.75 mol [/tex]
Now, the mass of CaCO₃ is:
[tex] m CaCO_{3} = 0.75 moles*100 g/mol = 75 g [/tex]
Finally, the percent of CaCO₃ in 100 g of the sample is:
[tex] \% CaCO_{3} = \frac{75 g}{100 g}*100 = 75 \% [/tex]
Therefore, the percent of CaCO₃ in the sample is 75%.
I hope it helps you!