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Black_prince [1.1K]
4 years ago
4

A hemispherical container, 26 inches in diameter, is filled with a liquid at 20C and weighed. The liquid weight is found to be 1

617 ounces.Required:a. What is the density of the fluid, in kg/m³? b. What fluid might this be? Assume standard gravity, g = 9.807 m/s².
Engineering
1 answer:
Cloud [144]4 years ago
5 0

Answer:

The answer is below

Explanation:

a) Density is the ratio mass of a substance to the total volume it occupies. The SI unit of density is kg/m³. The formula for density is:

Density = mass / volume

1 ounce =  0.0283495 kg

1 inch = 0.0254 m

The mass of liquid = 1617 ounces = 1617\ ounce * 0.0283495\frac{kg}{ounce} =45.84\ kg

diameter of container (d) = 26 inches = 26\ inches*0.0254\frac{m}{inch}=0.66\ m

Radius = d/2 = 0.66/2 = 0.33 m

The volume of a hemisphere = (2/3)πr³

Volume = \frac{2}{3}*\pi*(0.33)^3 =0.075\ m^3

Density = mass / volume = 45.84 kg / 0.075 m³ = 609.04 kg/m³

b) Specific weight = density × acceleration due to gravity = 609.04 kg/m³ × 9.807 m/s² = 5972.83 N/m³

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Air enters a compressor operating at steady state at 1.05 bar, 300 K, with a volumetric flow rate of 21 m3/min and exits at 12 b
omeli [17]

Answer:

- 46.5171kW

Explanation:

FIrst, the value given:

P1 = 1.05 bar (Initial pressure)

P2 = 12 bar (final pressure)

Heat transfer, Q = - 3.5 kW (It is negative because the compressor losses heat to the surroundings)

Mgaseous nitrogen = Mair = 28.0134 Kg/mol (constant)

Universal gas constant, Ru = 8.3143 Kj/Kgmolk

Specific gas constant, R = 0.28699 Kj/KgK

Initial temperature, T1 = 300 K

Final temperature, T2 = 400 K

Finding the volume:

P1V1 = RT1

V1 = RT1 ÷ P1

= (0.28699 Kj/KgK X 300k) ÷ 105

Note convert bar to Kj/Nm by multiply it by 100

V1 =  0.81997 m3/Kg

To get the mass flow rate:

m = volumetric flow rate / V1

= (21 m3/min x 1/60seconds) ÷ 0.81997 m3/Kg

= 0.4268Kg/s

Using tables for the enthalpy,

hT1 = 300.19 KJ/Kg

hT2 = 400.98 KJ/Kg

The enthalpy change = hT2 - hT1

= 100.79 KJ/Kg

Power, P = Q - (m X enthalpy change)

= - 3.5 - (0.4268 X 100.79)

= - 46.5171kW

3 0
3 years ago
"Water is flowing in a metal pipe. The pipe OD (outside diameter) is 61 cm. The pipe length is 120 m. The pipe wall thickness is
Katarina [22]

Answer:

Total wight =640.7927 KN

Explanation:

Given that

do= 61 cm

L =120

t= 0.9 cm

That is why inner diameter of the pipe

di= 61 - 2 x 0.9 cm

di=59.2 cm

Water density ,ρ = 1 kg/L = 1000 kg/m³

Weight of the pipe ,wt = 2500 N/m

wt = 2500 x 120 N = 300,000 N

The wight of the water

wt ' = ρ V g

wt'=1000\times \dfrac{\pi}{4}\times (0.61^2-0.0592^2)\times 9.81\times 120 N

wt'=340792.47 N

That is why total wight

Total wight = wt + wt'

Total wight =300,000+ 340792.47 N

Total wight =640,792.47 N

Total wight =640.7927 KN

7 0
4 years ago
Consider the control volume form of the basic laws. For the conservation of mass form for a control volume with mass flow into a
aleksandrvk [35]

Answer:

C) Dependent on the mass flows in and out.

Explanation:

Lets take control volume(CV)

Take

          m_i =inlet mass flow rate

          m_e =exit mass flow rate

If we take unsteady flow process then inlet mass can not be equal to exit mass.Some mass can store if inlet mass flow rate is high and exit mass flow rate  is low.

So mass of control volume

    m_{cv}=m_i-m_e.

so above we can say that mass of control volume dependent on inlet and exit mass.

5 0
3 years ago
Derive the following conversion factors:
zimovet [89]

Answer:

A. 0.0283 mm3/min

B. 15850.2 gal/min

C. 0.2642 gal/min

D. 1.7 m3/hour

Explanation:

A.

[(1 in)3/min *(25.4mm)3/(1 in)]

= 0.02832 mm3/min

B.

[(1m)3/sec*(264.173gal)/(1m)3]*(60secs)/1min

= 15850.2 gal/min

C.

[(Liter/min)*(0.264172gal/liter)]

=0.2642 gal/min

D.

[(1ft)3/min*(0.3048m)3/(1ft)3*(60mins/1hour)]

=1.7 m3/hour

Below is an attachment that should help.

8 0
3 years ago
Why does the compression-refrigeration cycle have a high-pressure side and a low-pressure side?
Cloud [144]

Answer: D

Explanation:

8 0
3 years ago
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