The molar mass of \( \text{CaCO}_3 \) is calculated as follows:
\[ \text{Molar mass of } \text{CaCO}_3 = 40 + 12 + (16 \times 3) = 100 \, \text{g/mol} \]
The percentage of Ca in \( \text{CaCO}_3 \) is given by:
\[ \frac{40}{100} \times 100 = 40\% \]
Selecting the correct option. Since the calcium content is 40%, the correct answer is (A) 40.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is: