Question

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

Answer 1

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