1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olegator [25]
3 years ago
12

A hot-water stream at 60oC enters a mixing chamber with a mass flow rate of 0.5 kg/s where it is mixed with a stream of cold wat

er at 10oC. If it is desired that the mixture leave the chamber at 41oC, determine the mass flow rate of the cold-water stream. Assume all the streams are at a pressure of 250 kPa.
Engineering
2 answers:
Nezavi [6.7K]3 years ago
7 0

Answer: 0.306 kg/s

Explanation:

If we assume that the specific heat for all stream is constant, we can then say, the mass flow rate of cold water can be calculated by using the energy balance equation.

The energy balance equation basically states that, the heat gained is equal to the heat lost

m'1h1 + m'2h2 = m'3h3

m'1T1 + m'2T2 = (m'1 + m'2) T3

0.5 (60) + m'2(10) = (0.5 + m'2)41

30 + 10m'2 = 20.5 + 41m'2

30 - 20.5 = 41m'2 - 10m'2

9.5 = 31m'2

m'2 = 9.5 / 31

m'2 = 0.306 kg/s

Mariulka [41]3 years ago
4 0

Answer:

the mass flow rate of the cold-water stream = 0.3065 kg/s

Explanation:

To solve this, we will work under the assumption that all the streams have constant specific heats. Thus, using energy balance equation, we can calculate the mass flow rate of the cold water from ;

m'1h1 + m'2h2 = m'3h3

This transforms to;

m'1T1 + m'2T2 = (m'1 + m'2) T3

Where;

m'1 is the flow rate of hot stream water = 0.5 kg/s

T1 is the temperature of the hot stream water = 60°C

T2 is the temperature of the cold water = 10°C

T3 = Temperature at which the mixture leaves the chamber = 41°C

m'2 is mass flow rate of cold stream water.

Let's make m'2 the subject;

m'1T1 + m'2T2 = (m'1 + m'2) T3

m'1T1 + m'2T2 = m'1•T3 + m'2•T3

m'1T1 - m'1•T3 = m'2•T3 - m'2T2

m'2(T3 - T2) = m'1(T1 - T3)

m'2 = (m'1)[(T1 - T3)/(T3 - T2)

Thus, plugging in relevant values to get ;

m'2 = 0.5[(60 - 41)/(41 - 10)

m'2 = 0.5(19/31)

m'2 = 0.3065 kg/s

You might be interested in
The concrete canoe team does some analysis on their design and calculates that they need a compressive strength of 860 psi. They
vlada-n [284]

Answer:

874 psi

Explanation:

Given a sample mean (x') = 900,

and a standard error (SE) = 10

At 99% confidence, Z(critical) = 2.58

That gives 99% confidence interval as,

x' ± Z(critical) x SE = 900 ± 2.58 x 10

The value of the lower limit is,

900 - 25.8 = 874.2

≈ 874 psi

8 0
3 years ago
Air at a pressure of 6000 N/m^2 and a temperature of 300C flows with a velocity of 10 m/sec over a flat plate of length 0.5 m. E
White raven [17]

Answer:

Q=hA(T_{w}-T_{inf})=16.97*0.5(27-300)=-2316.4J

Explanation:

To solve this problem we use the expression for the temperature film

T_{f}=\frac{T_{\inf}+T_{w}}{2}=\frac{300+27}{2}=163.5

Then, we have to compute the Reynolds number

Re=\frac{uL}{v}=\frac{10\frac{m}{s}*0.5m}{16.96*10^{-6}\rfac{m^{2}}{s}}=2.94*10^{5}

Re<5*10^{5}, hence, this case if about a laminar flow.

Then, we compute the Nusselt number

Nu_{x}=0.332(Re)^{\frac{1}{2}}(Pr)^{\frac{1}{3}}=0.332(2.94*10^{5})^{\frac{1}{2}}(0.699)^{\frac{1}{3}}=159.77

but we also now that

Nu_{x}=\frac{h_{x}L}{k}\\h_{x}=\frac{Nu_{x}k}{L}=\frac{159.77*26.56*10^{-3}}{0.5}=8.48\\

but the average heat transfer coefficient is h=2hx

h=2(8.48)=16.97W/m^{2}K

Finally we have that the heat transfer is

Q=hA(T_{w}-T_{inf})=16.97*0.5(27-300)=-2316.4J

In this solution we took values for water properties of

v=16.96*10^{-6}m^{2}s

Pr=0.699

k=26.56*10^{-3}W/mK

A=1*0.5m^{2}

I hope this is useful for you

regards

8 0
4 years ago
A(n)_____ is a device that provides the power and motion to manipulate the moving parts of a valve or damper used to control flu
Lesechka [4]

Answer:

Out of the four options provided

option A. actuator

is correct

Explanation:

An actuator is the only device out of the four mentioned devices that provides power and ensures the motion in it in order to manipulate the movement of the moving parts of the damper or a valve used whereas others like ratio regulator are used to regulate air or gas ratio and none mof the 3 remaining options serves the purpose

5 0
3 years ago
AC motor characteristics require the applied voltage to be proportionally adjusted by an AC drive whenever the frequency is chan
Margarita [4]
The answer is false
6 0
3 years ago
Read 2 more answers
Which sentence is correct about the exergy of an empty (pressure around zero Pascal) tank with a volume of V, located in an envi
sineoko [7]

Answer:

The correct option is;

c.  the exergy of the tank can be anything between zero to P₀·V

Explanation:

The given parameters are;

The volume of the tank = V

The pressure in the tank = 0 Pascal

The pressure of the surrounding = P₀

The temperature of the surrounding = T₀

Exergy is a measure of the amount of a given energy which a system posses that is extractable to provide useful work. It is possible work that brings about equilibrium. It is the potential the system has to bring about change

The exergy balance equation  is given as follows;

X_2 - X_1 = \int\limits^2_1 {} \, \delta Q \left (1 - \dfrac{T_0}{T} \right ) - [W - P_0 \cdot (V_2 - V_1)]- X_{destroyed}

Where;

X₂ - X₁ is the difference between the two exergies

Therefore, the exergy of the system with regards to the environment is the work received from the environment which at is equal to done on the system by the surrounding which by equilibrium for an empty tank with 0 pressure is equal to the product of the pressure of the surrounding and the volume of the empty tank or P₀ × V less the work, exergy destroyed, while taking into consideration the change in heat of the system

Therefore, the exergy of the tank can be anything between zero to P₀·V.

6 0
3 years ago
Other questions:
  • You just purchased a 400-L rigid tank for a client who works in the gas industry. The tank is delivered pre-filled with 3 kg of
    8·1 answer
  • he Weather Channel reports that it is a hot, muggy day with an air temperature of 90????F, a 10 mph breeze out of the southwest,
    6·1 answer
  • Air in a rigid tank is initially at 320 K and 130 kPa. Heat is added until the final pressure is 438 kPa. What is the change in
    9·1 answer
  • Consider a sinusoidal oscillator consisting of an amplifier having a frequency-independent gain A (where A is positive) and a se
    6·1 answer
  • Complete the following sentence. The skills and content of several subject areas were combined to form a new field known as a me
    12·2 answers
  • The attached program (studentsGpa.cpp) uses dynamic allocation to create an array of strings. It asks the user to enter a number
    10·1 answer
  • Exercise 5.46 computes the standard deviation of numbers. This exercise uses a different but equivalent formula to compute the s
    12·1 answer
  • Steam in a heating system flows through tubes whose outer diameter is 5 cm and whose walls are maintained at a temperature of 19
    13·1 answer
  • I really need a good grade please help
    13·1 answer
  • There are some sections of the SDS that are not mandatory.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!