Please help: A silicon wafer has a thickness of 0.084cm, a diameter of 10.16 cm, and a mass of 15.87 g. what is the density of silicon based on these measurement?
I know that D=mass/volume.
Is this equation right: 15.87g/(0.084cm*10.16cm)?
thank you for your help.
Yes, your equation is correct. To find the density of the silicon wafer, you need to divide the mass of the wafer by its volume.
First, convert the thickness and diameter from centimeters to meters to ensure consistent units:
Thickness = 0.084 cm = 0.084 cm * (1 m / 100 cm) = 0.00084 m
Diameter = 10.16 cm = 10.16 cm * (1 m / 100 cm) = 0.1016 m
Next, calculate the volume of the wafer using the formula for the volume of a cylinder:
Volume = π * (radius)^2 * height
Since the wafer is a circular disc, the radius is half the diameter:
Radius = 0.1016 m / 2 = 0.0508 m
Now, substitute the values into the equation to find the volume:
Volume = π * (0.0508 m)^2 * 0.00084 m
Once you have the volume, divide the mass of the silicon wafer by this volume to obtain the density:
Density = mass / volume = 15.87 g / (π * (0.0508 m)^2 * 0.00084 m)
Finally, calculate the value using a calculator or computer software with the given numbers to find the density of the silicon wafer.
Please note that the density of silicon is commonly reported in units of g/cm^3 or kg/m^3, so you may need to convert the units in the final answer if necessary.