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satela [25.4K]
3 years ago
9

Suppose you have 150. ml of a substance with density of 42.0 g/dm3. convert the volume from milliliters to liters to cubic decim

eters, then determine the mass of the sample in grams. also show the unit analysis by dragging components into the unit-factor slots below. the question marks (?) represent the answer to the previous step.
Physics
1 answer:
Fittoniya [83]3 years ago
3 0
First let's make the conversions corresponding to the volume:
 milliliters to liters:
 150 (ml) * (1/1000) (L / mL) = 0.15 L
 Liters to cubic decimeters
 0.15L * (1/1) (dm ^ 3 / L) = 0.15 dm ^ 3
 Then, by definition, density is equal to mass between volumes:
 d = m / v
 Clearing the mass we have:
 m = d * v
 Substituting:
 m = (42.0 g / dm3) * (0.15 dm ^ 3)
 m = 6.3g
 answer:
 the mass of the sample in grams is
 m = 6.3g
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cross multiply and find volume

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Total volume of the crown = V1 + V2

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density of gold = mass of gold / V1 and density of lead = mass of lead / V2

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19300 V1 = mass of gold and 11340 V2 = mass of lead

add the two together

19300 V1 + 11340 V2 = weigth of the crown / 9.8

19300 V1 + 11340 V2 = 6.12 also

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make V1 subject of the formula in equation 2

V1 = 0.000367 - V2

substitute for V1 in equation 1

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open the bracket

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substitute V2 into equation 2

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