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andrew11 [14]
3 years ago
13

An insulated rigid tank is initially evacuated. A valve is opened, and atmospheric air at 95 kPa and 17 ºC enters the tank until

the pressure in the tank reaches 95 kPa, at which point the valve is closed. Determine the final temperature of the air in the tank. Assume constant specific heats.
Engineering
1 answer:
Darya [45]3 years ago
5 0

Answer:

T2= 406k

Explanation:

The temperature can be defined as the measurement of the intensity of the heat present in the object. Fahrenheit, kelvin and centigrade are the common scale used for measuring Temperature.

Given:

T1=170C

To convert to Kelvin

= 17+273 =290K

T1 = 290K

Pressure (P)= 95KPa

Specific heat ratio = CP/CV= K

WhereK=1.005/0.718

K = 1.4

The final temperature can be calculated using the formula below.

T2 = CP/CV × T1

=. K × T1

T2 = 1.4 × 290

T2= 406k

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sukhopar [10]
N dnkdicwnjxiwkxdndjdjdj
7 0
3 years ago
Water flows through a horizontal 60 mm diameter galvanized iron pipe at a rate of 0.02 m3/s. If the pressure drop is 135 kPa per
maksim [4K]

Answer:

pipe is old one with increased roughness

Explanation:

discharge is given as

V =\frac{Q}{A} = \frac{ 0.02}{\pi \4 \times (60\times 10^{-3})^2}

V = 7.07  m/s

from bernou;ii's theorem we have

\frac{p_1}{\gamma}  +\frac{V_1^2}{2g} + z_1 = \frac{p_2}{\gamma}  +\frac{V_2^2}{2g} + z_2 + h_l

as we know pipe is horizontal and with constant velocity so we have

\frac{P_1}{\gamma } + \frac{P_2 {\gamma } + \frac{flv^2}{2gD}

P_1 -P_2 = \frac{flv^2}{2gD} \times \gamma

135 \times 10^3 = \frac{f \times 10\times 7.07^2}{2\times 9.81 \times 60 \times 10^{-5}} \times 1000 \times 9.81

solving for friction factor f

f = 0.0324

fro galvanized iron pipe we have \epsilon  = 0.15 mm

\frac{\epsilon}{d} = \frac{0.15}{60} = 0.0025

reynold number is

Re =\frac{Vd}{\nu} = \frac{7.07 \times 60\times 10^{-3}}{1.12\times 10^{-6}}

Re = 378750

from moody chart

For Re = 378750 and \frac{\epsilon}{d} = 0.0025

f_{new} = 0.025

therefore new friction factor is less than old friction factoer hence pipe is not new one

now for Re = 378750 and f = 0.0324

from moody chart

we have \frac{\epsilon}{d} =0.006

\epsilon = 0.006 \times 60

\epsilon = 0.36 mm

thus pipe is old one with increased roughness

5 0
3 years ago
Example 1: the two dimensional points P1(0,0) and P2(1,0) and the two tangents P', (1,1) and P2 (0,-1).find the equation of the
Stells [14]

Answer: (0,0)+ (1,0)= 1 lines upwards( suggesting that this is a line graph not saying it is but as an example) an (1,1) and (0,-1) all make a small square ( as this is a 2 dimensional graph that it has a negative side too,(below the positive side)) i hope this helps and is what you are looking for

Explanation:

6 0
3 years ago
Air at 1 atm enters a thin-walled ( 5-mm diameter) long tube ( 2 m) at an inlet temperature of 100°C. A constant heat flux is ap
alexdok [17]

Answer:

heat rate   = 7.38 W

Explanation:

Given Data:

Pressure = 1atm

diameter (D) = 5mm = 0.005m

length = 2

mass flow rate (m) = 140*10^-6 kg/s

Exit temperature = 160°C,

At 400K,

Dynamic viscosity (μ) = 22.87 *10^-6

Prandtl number (pr) = 0.688

Thermal conductivity (k) = 33.65 *10^-3 W/m-k

Specific heat (Cp) = 1.013kj/kg.K

Step 1: Calculating Reynolds number using the formula;

Re = 4m/πDμ

     = (4*140*10^-6)/(π* 0.005*22.87 *10^-6)

     = 5.6*10^-4/3.59*10^-7

     = 1559.

Step 2: Calculating the thermal entry length using the formula

Le = 0.05*Re*Pr*D

Substituting, we have

Le = 0.05 * 1559 * 0.688 *0.005

Le = 0.268

Step 3: Calculate the heat transfer coefficient  using the formula;

Nu = hD/k

h = Nu*k/D

Since Le is less than given length, Nusselt number (Nu) for fully developed flow and uniform surface heat flux is 4.36.

h = 4.36 * 33.65 *10^-3/0.005

h = 0.1467/0.005

h = 29.34 W/m²-k

Step 4: Calculating the surface area using the formula;

A = πDl

   =π * 0.005 * 2

    =0.0314 m²

Step 5: Calculating the temperature Tm

For energy balance,

Qc = Qh

Therefore,

H*A(Te-Tm) = MCp(Tm - Ti)

29.34* 0.0314(160-Tm) =  140 × 10-6* 1.013*10^3 (Tm-100)

0.921(160-Tm) = 0.14182(Tm-100)

     147.36 -0.921Tm = 0.14182Tm - 14.182

1.06282Tm = 161.542

Tm = 161.542/1.06282

Tm = 151.99 K

Step 6: Calculate the rate of heat transferred using the formula

Q = H*A(Te-Tm)

   = 29.34* 0.0314(160-151.99)

  = 7.38 W

the Prandtl number using the formula

5 0
3 years ago
what are three things that we would need and unlimiated amount of for all of us to obtain everything that we want?
Elanso [62]
Unlimited wants is an economic term that refers to humans’ insatiable appetite for things. We never get enough because there is always something else that we need or want. The term ‘unlimited wants’ is the side of human nature that wants an infinite number of things. However, the resources we have available to get these wants are limited.

There are two halves of scarcity that have plagued us ever since we first set foot on this Earth:

Limited resources.
Unlimited wants.
The Economics of Seinfeld says the following regarding the term:

“Unlimited wants essentially mean that people never get enough, that there is always something else that they would like to have.”

“When combined with limited resources, unlimited wants result in the fundamental problem of scarcity.”

Unlimited wants – limited resources

What we want and need has no limit, i.e., it is infinite. However, what we can afford is finite, i.e., it has a limit. This is a basic condition of human existence.

We are never completely satisfied with everything we consume. We consume a variety of goods and services, but they are never enough.

In other words, there is always something else that I, you, or anybody else would want or need.

The term applies to all socioeconomic groups. Low-income groups have limited resources, and their wants always exceed those resources. However, the same happens with middle-income and upper-income groups. They never feel they have enough.

The reason is a very simple one. Every income group’s resources are finite. However, unlimited want is a feature of every human.

Put simply; our wants and needs are infinite, but our wealth is not.

The economic problem – unlimited wants

‘The economic problem‘ is a term that economists use. It states that the finite resources of an economy are not enough to satisfy all our wants and needs. We also call it ‘the central economic problem‘ or ‘the basic economic problem.’

The main question we ask when considering ‘the economic problem’ is: “How do we satisfy unlimited wants with limited resources?”

As we cannot produce everything, we have to prioritize. We must decide what to produce, how to produce it, and how much to produce. We must also determine for whom to produce.

Human wants are constant and infinite, but the resources to satisfy them are finite. The resources cannot exceed the amount of human and natural resources available.

We produce things that we know people want, as long as we have the resources to make them. How strong or weak demand is determines how much we charge for those things. It also determines how much we produce (supply).

In other words, markets fores, i.e., the forces of supply and demand, in a free market economy, determine prices.

Wants vs. needs

Needs are things without which we cannot survive. Wants are things we desire. However, we can survive without those wants.

Food, water, and housing, for example, are needs. Clothing is also a need. Without food or water, we would die. We would probably die too without housing. In cold countries, we would not survive without clothing.

A nice car, smartphone, and vacation by the beach are wants. If I don’t have a nice car, I will still live. If I don’t go to Cancun for my winter break, I won’t die. However, I want these things.

Fundamental needs are key in the function of the economy. Wants, however, are the driving forces that stimulate demand for things, i.e., demand for goods and services.

We can say either ‘unlimited wants’ or ‘unlimited wants and needs.’

3 0
3 years ago
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