A 500-mL beaker has a mass of 250 g when empty and 645 g when filled with an unknown liquid. What is the density of the liquid?
density=mass/volume=(645-250)g/250ml=395g/250 ml=1.58g/ml
To find the density of the liquid, we need to use the formula:
Density = Mass / Volume
Let's break down the information given:
- The mass of the empty beaker is 250 g.
- The mass of the beaker when filled with the unknown liquid is 645 g.
- The volume of the beaker is 500 mL, which can be expressed as 500 cm³.
To calculate the mass of the liquid, we need to subtract the mass of the empty beaker from the mass of the filled beaker:
Mass of liquid = Mass of filled beaker - Mass of empty beaker
= 645 g - 250 g
= 395 g
Now that we have the mass of the liquid, we can calculate the density:
Density = Mass / Volume
= 395 g / 500 cm³
To get a consistent unit, we need to convert cm³ to mL since they are equivalent:
Density = 395 g / 500 mL
Finally, we can calculate the density:
Density = 0.79 g/mL
So, the density of the liquid is 0.79 g/mL.
To find the density of the liquid, we can use the formula:
Density = Mass / Volume
First, let's calculate the volume of the liquid in the beaker.
The difference in mass between the empty beaker and the filled beaker represents the mass of the liquid:
Mass of liquid = Mass of filled beaker - Mass of empty beaker = 645 g - 250 g = 395 g
Now, we need to convert the mass of the liquid from grams to kilograms because density is typically expressed in kg/m³.
Mass of liquid in kilograms = 395 g = 0.395 kg
The volume of the liquid in the beaker is equal to the volume of the beaker, which is given as 500 mL. However, we need to convert mL to cubic meters for consistency.
Volume of liquid = 500 mL = 500 cm³ = 0.5 L = 0.5 x 0.001 m³ = 0.0005 m³
Now, we can substitute the values into the density formula:
Density = Mass / Volume = 0.395 kg / 0.0005 m³
Finally, we can calculate the density:
Density = 0.395 kg / 0.0005 m³ ≈ 790 kg/m³
Therefore, the density of the unknown liquid is approximately 790 kg/m³.