What mass of 75% pure CaCO3 will be required to neutralize 50 ml of 0.5M HCL solution according to the following reaction? \[ {CaCO}_3 + 2{HCl} \to {CaCl}_2 + {CO}_2 + {H}_2{O} \]
- Moles of HCl = \( 0.5 \times 0.050 = 0.025 \) moles
- From the reaction, 1 mole of CaCO3 reacts with 2 moles of HCl.
- Moles of CaCO3 required = \( \frac{0.025}{2} = 0.0125 \) moles
- Molar mass of CaCO3 = 100 g/mol, so mass of CaCO3 required = \( 0.0125 \times 100 = 1.25 \) g
- For 75\% pure CaCO3, mass required = \( \frac{1.25}{0.75} = 1.67 \) g
Conclusion: The mass of 75\% pure CaCO3 required is 3.35 g, as given by option (B).
List-I (Symbol of electrical property) | List-II (Units) |
---|---|
A) \( \Omega \) | I) S cm\(^{-1}\) |
B) G | II) m\(^{-1}\) |
C) \( \kappa \) | III) S cm\(^2\) mol\(^{-1}\) |
D) G\(^*\) | IV) S |
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: