A 16 g piece of glass floats in bromoform (density = 2.89 g/ cm3) but sinks in bromobenzene (density = 1.52 g/ cm3), in which it has an appparent mass of 3.84.. What is the density of the glass ( in g/ cm3):
To find the density of the glass, we need to use the given mass and volume information.
First, let's find the volume of the glass in each liquid.
For bromoform:
Given mass of the glass = 16 g
Density of bromoform = 2.89 g/cm3
We can use the formula:
Density = Mass / Volume
Rearranging the formula, we can solve for volume:
Volume = Mass / Density
Volume of the glass in bromoform = 16 g / 2.89 g/cm3 = 5.53 cm3
For bromobenzene:
Given apparent mass of the glass = 3.84 g
Density of bromobenzene = 1.52 g/cm3
Similarly, we can find the volume of the glass in bromobenzene:
Volume of the glass in bromobenzene = 3.84 g / 1.52 g/cm3 = 2.53 cm3
Now that we have the volumes, we can calculate the density of the glass.
Density = Mass / Volume
Density = 16 g / 5.53 cm3 = 2.89 g/cm3 (approximate to two decimal places)
Therefore, the density of the glass is approximately 2.89 g/cm3.