Question

Suppose you have 50.0 cm³ of a substance with a density of 26.0 g/L and you want to determine the mass of the substance. The calculation can be broken down into three steps. First, convert the volume from cubic centimeters to milliliters. Then, convert the volume from milliliters to liters. Finally, determine the mass of the sample in grams. Show the unit analysis by placing the correct components into the unit‑factor slots.

Answer 1

1.3 g

Step-by-step explanation:

first step: cubic meter to milliliters

`1 cm^(3) = 1 mL`

`50 cm^(3)*(1mL)/(1 cm^(3))=50mL`

second step: milliliters to liters

`1000mL = 1L`

`50mL*(1L)/(1000mL)=0.05L`

third: determine mass

`mass=density*volume=0.05L*26(g)/(L)=1.3g`

The whole process is

`mass=50 cm^(3)*(1mL)/(1 cm^(3))*(1L)/(1000mL)*26(g)/(L)=1.3 g`