what is the height of the ethyl alcohol that exactly fills a 200.0mL container? the density of ethyl alcohol is 0.789/mL
depends on the cross-sectional area of the container.
height = volume/area
what does the density have to do with it?
To calculate the height of the ethyl alcohol that fills a 200.0mL container, we need to know the volume of the ethyl alcohol.
Volume can be calculated by multiplying the density of the substance with its mass. However, we don't have the mass given, so we can use the relationship between volume, density, and height to solve this problem.
First, let's convert the volume of the container to liters. Since there are 1,000 mL in a liter, 200.0 mL is equal to 0.2 L (200.0 mL / 1000 mL/L = 0.2 L).
Now, we have the volume (0.2 L) and density (0.789g/mL) of ethyl alcohol, but we still need to find the height.
To find the height, we can rearrange the formula for volume to solve for height:
Volume = Area x Height
But since we are dealing with a cylindrical container, we can use the formula for the volume of a cylinder:
Volume = Ο * r^2 * Height
where Ο is approximately 3.14159 and r is the radius of the base of the container.
To find the radius, we need to know the shape of the container. If the container is cylindrical, we need the diameter or radius. If it's another shape, such as a cone, we need information about the dimensions.
Assuming the container is cylindrical, if the diameter is given, we can calculate the radius by dividing the diameter by 2. If the diameter is not given, you will need to measure or estimate it.
Once we have the radius, we can rearrange the formula for volume of a cylinder to solve for the height:
Height = Volume / (Ο * r^2)
Since we already have the volume (0.2 L) and density (0.789g/mL), you can plug those values into the formula along with the radius, to calculate the height.