The true density and bulk density of wheat grains are 1280 kg/m\(^3\) and 740 kg/m\(^3\), respectively. The porosity of the grains is ......... (rounded off to 2 decimal places).
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To calculate porosity, use the formula: \({Porosity} = 1 - \frac{{Bulk density}}{{True density}}\), which gives the fraction of the volume that is not occupied by the material.
The porosity of a material is a measure of the void spaces (or air spaces) within it, and it can be calculated using the formula:
\[
{Porosity} = \frac{1 - \frac{{Bulk density}}{{True density}}}{1}
\]
Where:
- Bulk density = 740 kg/m\(^3\)
- True density = 1280 kg/m\(^3\)
Substituting the given values into the formula:
\[
{Porosity} = 1 - \frac{740}{1280} = 1 - 0.5781 = 0.4219
\]
Thus, the porosity of the wheat grains is approximately 0.42 (rounded to two decimal places).
Thus, the correct answer is approximately \(0.42\).