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Checking a Powder Sample Before and After Mixing 4 questions
Checking a Powder Sample Before and After Mixing
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A ceramic studio mixes a dark mineral with a light mineral. It divides the dry bin into an upper half and a lower half of equal total mass. A tester can measure the dark mineral’s mass fraction in each half. The studio needs at least 40% dark mineral in the whole bin.
| Condition | Dark mineral in upper half (%) | Dark mineral in lower half (%) |
|---|---|---|
| After settling | 30 | 60 |
| After mixing | 44 | 46 |
Question 1
Which readings show the greater difference between the upper and lower halves?
- After settling
- After mixing
- Both have the same difference.
- The readings do not compare depth.
Question 2
Calculate the whole-bin dark mineral mass fraction for both conditions. Explain why the two halves count equally.
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Question 3
The studio adds a second requirement. Each half must contain at least 40% dark mineral. Use both requirements to decide which condition qualifies.
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Another bin has a different shape. The upper region holds one quarter of the total mass and contains 30% dark mineral. The lower region holds three quarters and contains 50%.
Question 4
Calculate the whole-bin fraction for the new bin. Show how the region masses enter the calculation.
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