My task is to find the thickness of a piece of tin foil. I cut out a square 100mm by 100mm. I weighed it's mass and got .65g Tin foil has density of 2.7...
So then
Volume = .65/2.7 g/cm^3
I get .24 g/cm^3
The teacher said to get my answer in millimeters so I converted this number into millimeters. I don't know if this is the right point to convert the value but I converted it here...
I got .24 cm = 2.4 mm
Volume also = l*W*H
sense I know that the length is 100mm and the width is 100mm I'm able to solve this problem by doing simple aritmetic...
2.4 g/mm^3=100*100*X
solved for X and got .ooo24mm
I'm questioning this because lots of other students who did this experiment got the same answer except it had more zeros before it.
For example some people got
.000024
.0000024
and so on
So can some one tell me if i made a mistake
thanks
To calculate the thickness of the tin foil, you have correctly started by finding the volume:
Volume = Mass / Density = 0.65g / 2.7 g/cm^3 = 0.24 cm^3
Then you converted the volume to millimeters:
0.24 cm^3 = 2.4 mm^3
So far, everything is correct. However, to find the thickness of the tin foil, you need to divide the volume by the surface area, not the length and width:
Surface Area = Length * Width = 100mm * 100mm = 10,000 mm^2
Thickness = Volume / Surface Area = 2.4 mm^3 / 10,000 mm^2 = 0.00024 mm
So the correct thickness of the tin foil is 0.00024 mm, not 0.0024 mm as you calculated. It seems that both you and some of your classmates made an error in the calculation, resulting in an incorrect number of zeros in the final answer.
To find the thickness of the tin foil, you need to use the given information about its mass, dimensions, and density.
First, convert the mass from grams to kilograms since density is usually expressed in kg/m^3:
mass = 0.65g = 0.65/1000 kg = 0.00065 kg
Next, calculate the volume of the tin foil by dividing the mass by the density:
volume = mass / density = 0.00065 kg / 2.7 g/cm^3
To convert the density from g/cm^3 to kg/m^3, divide it by 1000:
density = 2.7 g/cm^3 = 2.7 / 1000 kg/cm^3 = 2700 kg/m^3
Now, let's find the volume:
volume = 0.00065 kg / 2700 kg/m^3 = 2.407 x 10^-7 m^3
Since we have a square with dimensions of 100mm x 100mm, the volume can also be calculated as:
volume = length x width x thickness
We know the length and width are both 100mm, which is equal to 0.1m:
2.407 x 10^-7 m^3 = 0.1m x 0.1m x thickness
Solve for thickness:
thickness = (2.407 x 10^-7 m^3) / (0.1m x 0.1m)
Calculating this gives: thickness = 2.407 x 10^-5 m
Finally, convert the thickness from meters to millimeters:
thickness = 2.407 x 10^-5 m = 2.407 x 10^-2 mm = 0.02407 mm
Therefore, the thickness of the tin foil is 0.02407 mm, approximately. Your result of 0.00024 mm is incorrect. It seems you made an error in your calculations, possibly by misplacing decimal points or incorrectly converting units.