Density of a rice grain is 1.5 g/cc and bulk density of rice heap is 0.80 g/cc. If a 1 litre container is completely filled with rice, what will be the approximate volume of pore space in the container?

Correct option is B

Given:

• True density of a rice grain = 1.5 g/cc
• Bulk density of rice heap = 0.80 g/cc
• Volume of container = 1 litre = 1000 cc

Formula Used:

Pore space (%) = $$= 1 - \frac{\text{Bulk Density}}{\text{True Density}} \\$$

$$\text{Pore space volume} = \left(1 - \frac{\text{Bulk Density}}{\text{True Density}}\right) \times \text{Total Volume} \\$$

Solution:

$$\text{Pore space fraction} = 1 - \frac{0.80}{1.5} = 1 - 0.5333 = 0.4667 \\\ \\\text{Pore space volume} = 0.4667 \times 1000 = 466.7 \, \text{cc} \approx 465 \, \text{cc} \\\ \\\textbf{Final Answer:} \quad \boxed{465 \, \text{cc}}$$

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