DR Bob,
can you go through the steps to work this out please....
how many grams of alcohol with a density of 0.900 g/cm ^3 (cm cubed) will have the same volume as 20.0g of mercury,with a density of 13.6 g/cm ^3
Do you have to find the volume of mercury first???
I know the answer is 1.32....i just don't know how to get there....
Thanks ANDY
The volumes are the same. Volume in mass divided by density.
(mass/density) of mercury = (mass/density) of alcohol
Alcohol mass = [(alcohol density)/(mercury density)]*(mecury mass)
= (0.900/13.6)*20 = 1.324 g
Rouded to two figures, that is 1.32 g
thanks..... andy
To find the number of grams of alcohol that will have the same volume as 20.0g of mercury, you need to determine the volume of mercury first, and then find out how many grams of alcohol would occupy the same volume.
Here are the steps to work it out:
Step 1: Find the volume of mercury.
Density of mercury = 13.6 g/cm^3
Given mass of mercury = 20.0g
Using the formula:
Density = Mass / Volume
Rearranging the formula to solve for volume:
Volume = Mass / Density
Substituting the given values:
Volume = 20.0g / 13.6 g/cm^3
Step 2: Calculate the volume of mercury.
Perform the division:
Volume = 1.47 cm^3 (rounded to two decimal places)
Step 3: Find the mass of alcohol with the same volume.
Density of alcohol = 0.900 g/cm^3
Volume of mercury = Volume of alcohol
Using the formula:
Density = Mass / Volume
Rearranging the formula to solve for mass:
Mass = Density x Volume
Substituting the values:
Mass = 0.900 g/cm^3 x 1.47 cm^3
Step 4: Calculate the mass of alcohol.
Perform the multiplication:
Mass = 1.32g (rounded to two decimal places)
Therefore, the number of grams of alcohol with a density of 0.900 g/cm^3 that will have the same volume as 20.0g of mercury (density 13.6 g/cm^3) is 1.32g.
Sure, Andy! I'd be happy to walk you through the steps to solve this problem.
To find the number of grams of alcohol that have the same volume as 20.0g of mercury, you need to compare the densities of the two substances. Since density is defined as mass divided by volume, you can set up the following equation:
density of alcohol = mass of alcohol / volume of alcohol
density of mercury = mass of mercury / volume of mercury
Given that the density of alcohol is 0.900 g/cm^3 and the density of mercury is 13.6 g/cm^3, you can rewrite the equations as:
0.900 g/cm^3 = mass of alcohol / volume of alcohol
13.6 g/cm^3 = 20.0g / volume of mercury
The goal is to find the volume of alcohol, so let's rearrange the first equation to solve for it:
volume of alcohol = mass of alcohol / 0.900 g/cm^3
Now, substitute the known value for the mass of alcohol and solve for the volume of alcohol:
volume of alcohol = 20.0g / 0.900 g/cm^3
The grams unit cancels out, leaving you with:
volume of alcohol = 20.0 / 0.900 cm^3
Now, calculate the volume of alcohol:
volume of alcohol = 22.2 cm^3
So, the volume of alcohol that has the same volume as 20.0g of mercury is 22.2 cm^3.
If you wish to find the mass of alcohol that corresponds to this volume, you can use the equation for density:
mass of alcohol = volume of alcohol * density of alcohol
Substitute the known values:
mass of alcohol = 22.2 cm^3 * 0.900 g/cm^3
And calculate:
mass of alcohol = 20.0g
Therefore, 20.0g of mercury has the same volume as 20.0g of alcohol with a density of 0.900 g/cm^3.