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.

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