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11Alexandr11 [23.1K]
4 years ago
10

Consider a single, porous, spherical, inert mineral particle. The pores inside the particle are filled with liquid water (specie

s B). We are interested in analyzing the molecular diffusion of the contaminant benzene (species A) within the water- filled pores of the particle. Benzene is very sparingly soluble in water, and does not adsorb onto the intersurfaces of the pores. The process is isothermal at 298 K. The concentration of dissolved benzene in the water surrounding the particle is constant with time. Starting with the general differential equation for mass transfer, develop the differential equation to describe the concentration profile of benzene within the single, porous, spherical, inert mineral particle. The effective diffusion coefficient of benzene in the water-filled pores of the particle is represented by the term DAe. As part of the analysis, state all reasonable assumptions, as well as boundary/initial conditions for the process.

Engineering
1 answer:
cluponka [151]4 years ago
7 0

Answer:

Explanation:

kindly check the attachment below for detailed explanations. Thanks

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Consider an open loop 1-degree-of-freedom mass-spring damper system. The system has mass 4.2 kg, and spring stiffness of 85.9 N/
Marat540 [252]

Answer:

Damping ratio  \zeta =0.0342

Explanation:

Given that

m=4.2 kg,K=85.9 N/m,C=1.3 N.s/m

We need to find damping ratio

We know that critical damping co-efficient

 C_c=2\sqrt {mk}

 C_c=2\sqrt {4.2\times 85.9}

 C_c=37.98 N.s/m

Damping ratio(\zeta) is the ratio of damping co-efficient to the critical damping co-efficient

So \zeta =\dfrac{C}{C_c}

\zeta =\dfrac{1.3}{37.98}

\zeta =0.0342

So damping ratio  \zeta =0.0342

 

3 0
4 years ago
Given the latent heat of fusion (melting) and the latent heat of vaporisation for water are Δhs = 333.2 kJ/kg and Δhv = 2257 kJ/
kap26 [50]

Answer:

C)185,500 KJ

Explanation:

Given that

Latent heat fusion = 333.23 KJ/kg

Latent heat vaporisation = 333.23 KJ/kg

Mass of ice = 100 kg

Mass of water = 40 kg

Mass of vapor=60 kg

Ice at 0°C ,first it will take latent heat of vaporisation and remain at constant temperature 0°C and it will convert in to water.After this water which at 0°C will take sensible heat and gets heat up to 100°C.After that at 100°C vapor will take heat as heat of  vaporisation .

Sensible heat for water Q

Q=mC_p\Delta T

For water

C_p=4.178\ KJ/Kg.K

Q=4.178 x 40 x 100 KJ

Q=16,712 KJ

So total heat

Total heat =100 x 333.23+16,712 + 60 x 2257 KJ

Total heat =185,455 KJ

Approx Total heat = 185,500 KJ

So the answer C is correct.

8 0
4 years ago
An 18-in.-long titanium alloy rod is subjected to a tensile load of 24,000 lb. If the allowable tensile stress is 60 ksi and the
Vilka [71]

Answer:

Required Diameter = 302.65 inches

Explanation:

We are given;

Allowable tensile stress = 60 ksi

Weight of tensile load = 24,000 lb

Elongation = 0.05 in

Original length = 18 in

We'll need to check the diameters under stress and strain.

Now, we know that the formula for stress is;

Stress = Force/Area

Thus,

Area = Force/stress

So for this stress, area required is;

A_req = 24000/60 = 4000 in²

So let's find the required diameter here.

Area = πd²/4

So, 4000 = πd²/4

(4000 x 4)/π = d²

d² = 5092.96

Required diameter here is;

d = √5092.96

d = 71.36 in

For Strain;

Formula for strain is;

Strain = stress/E

We are given E = 120 ksi

stress = P/A = 24,000/A

strain = elongation/original length = 0.05/18 = 0.00278

Thus;

0.00278 = P/(A•E)

0.00278 = 24000/(120 x A)

Making A the subject to obtain;

A = 24000/(120 x 0.00278)

A_required = 71942 in²

Area = πd²/4

So, 71942 = πd²/4

(71942 x 4)/π = d²

d² = 91599.4

Required diameter here is;

d = √91599.4

d = 302.65 in

The larger diameter is 302.65 inchesand it's therefore the required one.

3 0
4 years ago
Can you give me examples of reciprocating motion?
tensa zangetsu [6.8K]

Answer:

Other examples of reciprocating motion include piston pumps and compressors, roller pressure and tensioning systems, material testing devices, and insertion machines.

Explanation:

6 0
3 years ago
Based on the concept that it is better to prevent falls happening in the first place, which of the following safety methods meet
alekssr [168]

Answer:fall arrest harness

Explanation:cuz it’s just right

7 0
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