Question 2: Consider two aerosol particles with density p= 1000 kg/m³ (i.e. water droplets). The first one has a diameter Dp = 10 μm and the second one has a diameter Dp2=0.01 μm. Calculate the following: (a) The mass of each particle. (b) The surface area of each particle. What is the surface area ratio between these two particles? (c) The volume of each particle. What is the volume ratio between these two particles? (d) How many particles of the small one (Dp = 0.01 µm) can have the same mass of a one large particle (D = 10 µm)? (e) How many particles of the large one (D-10 µm) can be found in an aerosol sample with a concentration of 10 mg/m³? (f) How many water molecules can be found in each particle?

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Question 2: Consider two aerosol particles with density p= 1000 kg/m³ (i.e. water droplets). The first one
has a diameter Dp = 10 μm and the second one has a diameter Dp2=0.01 μm. Calculate the
following:
(a) The mass of each particle.
(b) The surface area of each particle. What is the surface area ratio between these two particles?
(c) The volume of each particle. What is the volume ratio between these two particles?
(d) How many particles of the small one (Dp = 0.01 μm) can have the same mass of a one large
particle (D 10 µm)?
=
(e) How many particles of the large one (D,
10 μm) can be found in an aerosol sample with a
concentration of 10 mg/m³?
(f) How many water molecules can be found in each particle?
Question 3: A powder consists of spheres (diameter D, and density pp):
(a) Derive an expression for the surface area per kilogram of material as a function of particle size.
(b) Calculate the surface area of 2 g of 0.2 um diameter particles.
Question 4: Consider air, then calculate the following:
(a) The viscosity at T = 200 °C and P = 1 atm.
(b) The mean free path at P = 5.5 kPa and T = -56 °C.
(c) The molecules concentration at P = 5.5 kPa and T = -56 °C.
(d) The density at P-5.5 kPa and T=-56 °C.
Question 5: Consider a long tube (De = 10 mm) with air flow (V = 0.1 m/s). Acrosol particles (diameter
D₂=2 µm and settling velocity 0.1 mm/s
(a) Verify what kind of airflow (laminar or turbulent) in the tube?
(b) Verify what kind of particle motion (laminar or turbulent) while settling in the tube?
(c) What is the minimum length of the tube need for all particles not to pass out the tube?
Transcribed Image Text:Question 2: Consider two aerosol particles with density p= 1000 kg/m³ (i.e. water droplets). The first one has a diameter Dp = 10 μm and the second one has a diameter Dp2=0.01 μm. Calculate the following: (a) The mass of each particle. (b) The surface area of each particle. What is the surface area ratio between these two particles? (c) The volume of each particle. What is the volume ratio between these two particles? (d) How many particles of the small one (Dp = 0.01 μm) can have the same mass of a one large particle (D 10 µm)? = (e) How many particles of the large one (D, 10 μm) can be found in an aerosol sample with a concentration of 10 mg/m³? (f) How many water molecules can be found in each particle? Question 3: A powder consists of spheres (diameter D, and density pp): (a) Derive an expression for the surface area per kilogram of material as a function of particle size. (b) Calculate the surface area of 2 g of 0.2 um diameter particles. Question 4: Consider air, then calculate the following: (a) The viscosity at T = 200 °C and P = 1 atm. (b) The mean free path at P = 5.5 kPa and T = -56 °C. (c) The molecules concentration at P = 5.5 kPa and T = -56 °C. (d) The density at P-5.5 kPa and T=-56 °C. Question 5: Consider a long tube (De = 10 mm) with air flow (V = 0.1 m/s). Acrosol particles (diameter D₂=2 µm and settling velocity 0.1 mm/s (a) Verify what kind of airflow (laminar or turbulent) in the tube? (b) Verify what kind of particle motion (laminar or turbulent) while settling in the tube? (c) What is the minimum length of the tube need for all particles not to pass out the tube?
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