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).

If the molar conductivity ($\Lambda_m$) of a 0.050 mol $L^{–1}$ solution of a monobasic weak acid is 90 S $cm^{2} mol^{–1}$, its extent (degree) of dissociation will be:
[Assume: $\Lambda^0$ = 349.6 S $cm^{2} mol^{–1}$ and $\Lambda^0_{\text{acid}}$ = 50.4 S$ cm^{2} mol^{–1}$]
The bulking of the sand is increased in volume from 20% to 40% of various sand and moisture content ranges from ……… to ……….. percent.
