Question

From measurements on a uniformly sized material from a dryer, it was found that the surface area of the material is 1200 m2. If the density of the material is 1450 kg m-3 and the total weight is 360 kg calculate the equivalent diameter of the particles.

Answer 1

The equivalent diameter of the particles is approximately 19.54 m.

Step-by-step explanation:

To calculate the equivalent diameter of the particles, we can use the formula for the surface area of a sphere, which is:

Surface Area = 4πr^2

Given that the surface area of the material is 1200 m^2, we can rearrange the formula to solve for the radius:

r^2 = Surface Area / (4π)

r = sqrt(Surface Area / (4π))

Substituting the given values into the equation, we get:

r = sqrt(1200 / (4π))

r ≈ sqrt(95.49)

r ≈ 9.77 m

Thus, the equivalent diameter of the particles is approximately 2 times the radius:

Diameter = 2 * r

Diameter ≈ 2 * 9.77

Diameter ≈ 19.54 m

Answer 2

`D = 2.07* 10^(-4) m`

Step-by-step explanation:

We know that the volume of the material

= mass/density

mass= 360 Kg

density = 1450 kg/m^3

Volume= 360/1450= 0.248 m^3

and Volume = Area× equivalent Diameter

Area= 1200 m^2

⇒Equivalent Diameter= Volume/Area= 0.248/1200=

`D = 2.07* 10^(-4) m`