Chapter 25: Q16P (page 708)

Microporous silica particles with a density of $2.2 g / mL$ and a diameter $10 μm$ of have a measured surface area of calculated the surface area of the $300 m^{2}$ spherical silica as if it were simply solid particles what does this calculation tell you about the shape or porosity of the particles.

Short Answer

Expert verified

Microporous silica particles with a density calculation tell you about the shape or porosity of the particles.

First we calculate volume of sphere:

$v = \frac{4}{3} . {πr}^{3} v = \frac{4}{3} . π (5 . 10^{- 4} cm) 3 p = 0.27 m^{2}$

Step by step solution

definition of volume

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity.

First we calculate volume of sphere:

$v = \frac{4}{3} . {πr}^{3} v = \frac{4}{3} . π (5 . 10^{- 4} cm) 3 p = 5.24 . 10^{- 4} {cm}^{3}$

Then we calculate mass of one sphere:

$m = ρ . v m = 2.2 g / mL . 5.24 . 10^{- 10} mL m = 1.15 . 10^{- 9} g$

So, the number of particles in 1 g is:

role="math" localid="1654843608416" $N = \frac{1 g}{1.10 . 10^{- 9} g} N = 8.7 . 10^{8}$

Step 2:surface one particle

The surface of one particle is:

$p = 4 . {πr}^{2} p = 4 . π {(5 . 10^{- 6} m)}^{2} p = 3.14 . 10^{- 10} m^{2}$

Now we calculate surface of particles:

$p = 3.10 . 10^{- 10} m^{2} . 8.7 . 10^{2} p = 0.27 m^{2}$

The measured surface area is 300m², so the particles have irregular shapes and they are porous.

Hence,

p=0.27m²

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Short Answer

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definition of volume

Step 2:surface one particle

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Microporous silica particles with a density of2.2g/mLand a diameter10μmof have a measured surface area of calculated the surface area of the300m2spherical silica as if it were simply solid particles what does this calculation tell you about the shape or porosity of the particles.

Short Answer

Step by step solution

definition of volume

Step 2:surface one particle

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Ionic and Molecular Compounds

The Earths Atmosphere

Chemical Analysis

Inorganic Chemistry

Kinetics

Physical Chemistry

Study anywhere. Anytime. Across all devices.