Question

45. The mass of a density bottle is 19g when dry and empty, 45g when filled with water and 40g when full of liquid x. Calculate the density of the liquid x. A. 0.81g/cm³ B. 0.081 g/cm³ C. 81 g/cm³ D. 0.18g/cm³​

Answer 1

A. 0.81g/cm³

Step-by-step explanation:

The density of water is 1 g/cm³

Mass of bottle = 19 g when dry and empty
Mass of bottle filled with water = 45 g

Mass of water = 45 - 19 = 26 cm³

Volume of the bottle = V = m/d where m = mass, d = density
V = 26/1 = 26 cm³

So 26 cm³ of liquid plus bottle mass has a total mass of 40 g

Mass of liquid = 40 - 19 = 24 g

Density = m/V = 21/26 = 0.807 g/cm³ or about 0.81 g/cm³

Answer:
A. 0.81g/cm³