Subjects physics

Porosity Calculation 539990

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1. **Stating the problem:** Calculate the porosity percentage for each bead size using the formula for porosity: $$\text{Porosity} = \frac{\text{Volume of voids}}{\text{Total volume}} \times 100$$ 2. **Formula explanation:** Porosity is the percentage of the material's volume that is empty space (voids). We divide the volume of voids by the total volume and multiply by 100 to get a percentage. 3. **Calculate porosity for each data point:** - Small beads: - For 95 ml voids: $$\frac{95}{250} \times 100 = 38\%$$ - For 90 ml voids: $$\frac{90}{250} \times 100 = 36\%$$ - For 97 ml voids: $$\frac{97}{250} \times 100 = 38.8\%$$ - Medium beads: - For 98 ml voids: $$\frac{98}{250} \times 100 = 39.2\%$$ - For 95 ml voids: $$\frac{95}{250} \times 100 = 38\%$$ - For 92 ml voids: $$\frac{92}{250} \times 100 = 36.8\%$$ - Large beads: - For 80 ml voids: $$\frac{80}{250} \times 100 = 32\%$$ - For 95 ml voids: $$\frac{95}{250} \times 100 = 38\%$$ - For 105 ml voids: $$\frac{105}{250} \times 100 = 42\%$$ 4. **Summary:** Porosity values vary by bead size and measurement, ranging approximately from 32% to 42%. This shows how pore space changes with bead size. Final answer: Porosity percentages are calculated as above for each data point.