Question

The density of mercury is 13.6 g/cm³. Estimate the value of 'b' (in cm³/ mole). (Hg = 200)

• A. 29.41 cm³/ mole
• B. 58.82 cm³/ mole
• C. 98.82 cm³/ mole
• D. None of these

Answer 1

Answer: (B)

58.82 cm³/ mole

Answer 2

The molar volume ($V_m$) of mercury is calculated by dividing its molar mass (200 g/mol) by its density (13.6 g/cm³). $V_m = \frac{\text{Molar Mass}}{\text{Density}} = \frac{200 \text{ g/mol}}{13.6 \text{ g/cm}^3} \approx 14.706 \text{ cm}^3\text{/mol}$ The 'b' value, representing the excluded volume, is estimated as approximately 4 times the molar volume. $b \approx 4 \times V_m \approx 4 \times 14.706 \text{ cm}^3\text{/mol} \approx 58.82 \text{ cm}^3\text{/mol}$