HW1-ARE 346N-BES-F20-Solutions-PDF (2)
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University of Texas *
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Course
346N
Subject
English
Date
Dec 6, 2023
Type
Pages
12
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10/20/2020
HW2-ARE 346N-BES-F20-Solutions - Colaboratory
https://colab.research.google.com/drive/1ggGirkwmJoZ-jcb8BemptYpUNLPLhgES#scrollTo=-pBSsflz_JyZ&printMode=true
1/12
Homewo
rk 1
ARE 346N Building Environmental Systems
Professor Dr. Zoltan Nagy
Due: September 29th, 2020
Solve each of the following problems and show your work. Make sure to label each answer with the
same label as the problem.
You will be graded on both the correct method and solution. Partial credit is awarded for use of the
correct equation or method, correct values chosen from tables and charts when required, and the
correct answer with appropriate units.
This assignment includes TWO
problems.
PROBLEM
POINTS
1.a
3 pts
1.b
2 pts
1.c
3 pts
1.d
3 pts
1.e
3 pts
1.f
3 pts
2.a
18 pts
TOTAL
35 pts
Instructions
For this Homework, the following resources might be useful for you:
1. Psychrometric Chart
1. Online Interactive Chart
2. Downloadable Charts
2. Table 3.6 from your textbook- Chapter 3
3. Table 3.7 from your textbook- Chapter 3
Resources
10/20/2020
HW2-ARE 346N-BES-F20-Solutions - Colaboratory
https://colab.research.google.com/drive/1ggGirkwmJoZ-jcb8BemptYpUNLPLhgES#scrollTo=-pBSsflz_JyZ&printMode=true
2/12
Problems
Outdoor air with dry bulb temperature of 40
o
F and relative humidity of 60% is heated using an
electric heater to DBT= 95
o
F, and after that humidi±ed to relative humidity of 35% by injection of dry
steam.
Problem 1 - Psychrometrics
Draw the heating and humidifying process in psychrometric chart. Show all points.
Problem-1(a)
# YOUR CODE HERE
#
10/20/2020
HW2-ARE 346N-BES-F20-Solutions - Colaboratory
https://colab.research.google.com/drive/1ggGirkwmJoZ-jcb8BemptYpUNLPLhgES#scrollTo=-pBSsflz_JyZ&printMode=true
3/12
Using the psychrometric chart, determine the amount of energy supplied to 1 lb of dry air in this
heating and humidifying processes
Problem-1(b)
# YOUR CODE HERE
#
23.5 #enthalpy of external air
h1=13.1
# Btu/lbda
#enthalpy of air after humidifier
h3=36.6
#Btu/lbda
#Energy per unit of mass:
q13=h3-h1
print(q13)
Problem-1(c)
10/20/2020
HW2-ARE 346N-BES-F20-Solutions - Colaboratory
https://colab.research.google.com/drive/1ggGirkwmJoZ-jcb8BemptYpUNLPLhgES#scrollTo=-pBSsflz_JyZ&printMode=true
4/12
Find the amount of water while steam humidi±er is using for humidi±cation of 1 lb dry air. Assume
that all water is converted into steam.
# YOUR CODE HERE
E
0.0092 w3= 0.0124
#lbw/lbda
w2=0.0032
#lbw/lbda
Delta_w23= w3-w2
print(Delta_w23)
w
If the volume ²ow rate of air is 30 ft3/min (CFM), what is the amount of energy per hour (energy
rate) [Btu/h] needed for heating and humidi±cation? What is the ²ow rate of water (lbw/hour)
needed for humidi±cation?
Problem-1(d)
1815.0 1335.84 3172.5 3150.84 0.11536363636363636 # YOUR CODE HERE
#Volume flow rate
V=30 #ft3/min
Qsensible
= 1.1 * V * (95-40)
Q_latent = 4840*V*(Delta_w23)
Q_total= 4.5*V*q13
print(Qsensible)
print(Q_latent)
print(Q_total)
print(Qsensible+Q_latent)
GPM = Q_total / (500 * (95-40))
print(GPM)
#
10/20/2020
HW2-ARE 346N-BES-F20-Solutions - Colaboratory
https://colab.research.google.com/drive/1ggGirkwmJoZ-jcb8BemptYpUNLPLhgES#scrollTo=-pBSsflz_JyZ&printMode=true
5/12
3214.7999999999997 1.25856 #ALternative Solution : I accepted the solutions above because of the book's reference
#Volume flow rate
V=30 #ft3/min
Air_density=0.076 #lb/ft3
m = V*Air_density * 60 #Air mass flow rate lb/hr
#Total heat rate:
Qtotal = m*q13 #[Btu/h]
#Water flow rate:
G= m*Delta_w23
print(Qtotal)
print(G)
#
What is the sensible energy that electric heater provides per unit of air? What should be the power
of electric heater for heating of 30 ft3/min of air ±ow? Assume that there is no heat loss in electric
heater.
Problem-1(e)
# YOUR CODE HERE
E
545.25273408 1860.4799999999998 h2=26.7 #Btu/lbda
qsensible= h2 - h1 #Btu/lb
Qsensible= m*qsensible
#Power of electric heater is equal of sensible heat rate:
P= Qsensible # [Btu/h]
#Wattconversion
Power_Watt_electricHeater= P*0.293071
print(Power_Watt_electricHeater)
print(Qsensible)
h
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