A powder has a mass of 40.0g. When the powder is added to 30.0mL of water, the total volume is 45.0mL. What is the density of the powder
density = mass/volume
Assuming that the powder doesn't dissolve and that all of it is submerged (none floats), d = 40/15 = ? g/mL
To find the density of the powder, we need to use the formula:
Density = Mass / Volume
Given information:
Mass of the powder = 40.0 g
Volume of water = 30.0 mL
Total volume after adding the powder = 45.0 mL
To find the volume of the powder, we can subtract the volume of water from the total volume:
Volume of the powder = Total volume - Volume of water
Volume of the powder = 45.0 mL - 30.0 mL = 15.0 mL
Now we can substitute the values into the formula to find the density:
Density = Mass / Volume
Density = 40.0 g / 15.0 mL
To perform the calculation, we need to convert mL to grams since it is a volume-to-mass ratio.
To convert mL to grams, we need to know the density of the substance. Once you tell me the density of the powder, I can proceed with the calculation.
To find the density of a substance, you need to divide its mass by its volume. In this case, you have the mass of the powder (40.0g), but you don't have the volume of the powder directly. However, you do have the total volume when the powder is added to water, which is 45.0mL.
To find the volume of the powder, you can subtract the volume of the water from the total volume. Thus, the volume of the powder would be:
Volume of powder = Total volume - Volume of water
Volume of powder = 45.0mL - 30.0mL
Volume of powder = 15.0mL
Now that you have the mass (40.0g) and the volume (15.0mL) of the powder, you can calculate its density by dividing the mass by the volume:
Density = Mass / Volume
Density = 40.0g / 15.0mL
To get the density in g/mL, you divide the mass by the volume:
Density = 2.67 g/mL
Therefore, the density of the powder is 2.67 g/mL.