Ask Question
14 February, 01:12

In the manufacturing of computer chips, cylinders of silicon are cut into thin wafers that are 3.00 in. in diameter and have a mass of 1.50 g of silicon. How thick, in millimeters, is each wafer if silicon has a density of?

+2
Answers (1)
  1. 14 February, 01:27
    0
    Answer: thickness h = 0.014cm

    Question: In the manufacturing of computer chips, cylinders of silicon are cut into thin wafers that are 3.30 inches in diameter and have a mass of 1.50 g of silicon. How thick (mm) is each wafer if silicon has a density of 2.33 g/cm 3? (The volume of a cylinder is V=πr 2 h)

    Explanation:

    The volume of a cylinder is

    Volume V = πr^2h ... 1

    The density of a material is

    Density D = mass m / volume V

    D = m/V ... 2

    Since m and D are given, we can make V the subject of formula.

    V = m/D ... 3

    From equation 1, we need to derive the thickness h of the cylindrical silicon.

    h = V/πr^2 ... 4

    Substituting equation 3 into 4

    h = (m/D) / πr^2 ... 5

    Given.

    mass m = 1.50g

    density D = 2.33g/cm^3

    radius r = diameter/2 = 3.00in/2 = 7.62/2 cm = 3.81cm

    Substituting the given values into the equation

    h = (1.5/2.33) / (π * 3.81^2)

    thickness h = 0.014cm
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “In the manufacturing of computer chips, cylinders of silicon are cut into thin wafers that are 3.00 in. in diameter and have a mass of 1.50 ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers