Problem 1.
a) Since the fluid along the length of the pipe and the flow is laminar, we can use ! = ! = 0.
Also, the flow is symmetric with respect to , hence ! ! ()
b)
BC 1: No-slip boundary condition at the pipe surface.
! = = 0
BC 2: From symmetry,
! =
Problem 1 (6.26)
Steady state, incompressible flow. Volumetric flow rate Q = 3 ft3/s
Solving for !" ,
!" =
!
4 !"
Solving for !"# ,
!
=
= 3.82
! s
s
41
3
3
!"# =
=
!
2.5
4 !"# 4 12
!
!
= 88
s
s
Head loss between the inlet and the outlet can be writte
Question 1 (13.23)
Let us draw our control volume (the fluid inside the tank):
We can write a total energy balance for this control volume, where subscript 1 is the top of the
tank and subscript 2 is just inside the outlet of the pipe:
! 1 !
! 1
+ ! + ! =
CBE 150A
Spring 2017
Problem Set #1 Solutions
b
!
a
Problem 1 (1.7)
! = ! cos + ! sin
! = ! + ! ;
cos =
! = 1
= ;
!
sin =
Substituting:
! = ! + ! = cos ! + sin !
=
!
! = ! sin + ! cos
! = ! + ! ;
cos =
= ;
!
Substituting:
! = ! + ! = sin ! + cos !
! =
Problem 1 Force Required to Turn A Jet of Water 10 points
!"#
y
! , ! , !
x
!"#
!"#
!"#
What is max ! given ! ?
1. Choose CV (dashed line)
2. assumptions: (a) constant , (b) ! = ! (mass balance gives ! = ! ), (c) steady state
3. mass balance:
=
Dram Study Guide
Play genres/form: i.e.
Comedy have been around since ancient times.
Tragedy serious play; always ends in the death of one or more character and focuses on
a theme about human life and society. The main character has a flaw .
melodrama
CBE 141 Problem Set 8
Due: Fri, April 8
Please staple your solutions for Problem 1&2, 3&4, 5&6 separately and label your
discussion number (1 through 6).
Problem 1
Smith Van Ness and Abbott Problem 11.6 and 11.7
a. What is the partial molar temperature an
CBE 141 Problem Set 9
Due: Fri, April 15
Please staple your solutions for Problem 1&2, 3&4, 5&6 separately and label your
discussion number (1 through 6), refer below:
(1) 105 Latimer, Mon 9:00 10:00 am Colin Burke
(2) 105 Latimer, Tues 8:00 9:00 am Miche
CBE 141 Problem Set 4 Solutions
Due: Fri, February 26
Problem 1
Smith Van Ness Abbott Problem 6.7
Estimate the change in enthalpy and entropy when liquid ammonia at 270 K is
compressed from its saturation pressure of 381 kPa to 1200 kPa. For saturated liq
CBE 141 Problem Set 2 Solutions
Due: Fri, February 5
Problem 1
One kilogram of air is heated reversibly at constant pressure from an initial state of 300
K and 1 bar until its volume triples. Calculate work (W), heat (Q), change of internal
energy (U) and
Chemical Engineering 150A
Due March 17, 2015 11:59pm
Problem Set 8
1. A glass 6 inch diameter packed bed reactor contains 1/8 inch diameter particles with a
bed length of 8 inches. The void fraction in the bed is 0.4. A gas ( = 0.001 g/cm3, =
0.0002 g/cm/
Quiz 2: Week of 2/6/2017
Name:
Solution
Question 1 (40 pts): You open the valve of a tank containing an ideal gas at 35 C and 5.0 bar, so that the gas
exits the tank into the atmosphere at 25 C. The tank has a volume of 10 L and the gas is being released
CBE 141 Problem Set 2 Solutions
Due: Fri, February 5
Problem 1
One kilogram of air is heated reversibly at constant pressure from an initial state of 300
K and 1 bar until its volume triples. Calculate work (W), heat (Q), change of internal
energy (U) and
CBE 141 Problem Set 3 Solutions
Due: Fri, February 10
Problem 1
An inventor claims that he has designed a heat engine that operates in a cycle receiving
heat at the rate of 120 kW from a waste-heat source at 320C. The engine delivers work
at the rate of 6
Quiz 2: Week of 2/6/2017
Name:
Solution
Question 1 (40 pts): You open the valve of a tank containing an ideal gas at 35 C and 5.0 bar,
so that the gas exits the tank into the atmosphere at 25 C. The tank has a volume of 10. L and
the gas is being released
CBE 141 Problem Set 1 Solutions
Due: Fri, January 29
Problem 1
Spring potential energy: = 0.5 1500 (3.26 )2 = 7970.7
It takes 4.1868 J to raise 1 g water by 1 K (from definition of calorie, which is 4.1858
J; can also look up heat capacity).
=
7970.7
=
Quiz 2 Week of 2/6/2017 Version 3
Name: solution
Question 1 (40 pts): You have a cylinder containing an ideal gas at 35 C and 5.0 bar. The
cylinder has a volume of 10. L. The surrounding air is at 1 bar. Take CV=20.8 J/(mol K) for the air
and assume that
Exam 1 Review
The exam will have two sections. One section that is multiple choice/TF. There will be a
second part which is a problem solving part. Remember if you set up the problem correctly you
will get most of the allotted point credit, so you may wan
CBE 141 Exam 1 Review Session
General schematic for solving 1st Law problems
First Law
Closed System:
dU = dQ + dW
Open System:
d(mU)CV /dt = Q + W s m(1/2v2 + gh + H )
Equations
Assumptions
dW = P dV
Reversible
dU = C vdT
Constant volume or IG
dH = C pdT
Scholars Program
in the Biomedical Sciences
(71912156 WPW 0f mums.
we have m/lzed mm: 12:1, 1152, Mm: aMLw
Jumjjfwe on (of; of worse . Dot AM) It "CD 4,601/pnsfvv (2542: Z [5
4:52 boi/Inzgl War .7 g 535 /000C 2
NOW ima'we 44 [WW 0: MIX 1 H bids, SW71
[CBE 141] Discussion 6: Thermodynamic Cycles
Part II
Michelle Liu
Week of March 7, 2016
Contents
1 Review of cycles thus far
1
2 Refrigeration or heating vs. work production
3
3 Efficiency
3
1
Review of cycles thus far
The portion of thermodynamics that w
CBE 141- Chemical Engineering Thermodynamics
Spring 2015
Homework Set # 7 Solutions
Deadline:
Friday 10 Apr. 2015 (In class by 1:10 pm)
Strict adherence to these rules:
1) Solve each question on a new page.
2) Put your final answer in a box.
3) DO NOT sta
A plate set suddenly in mo0on
(Accelera0ng ow, Ch 9)
A plate set suddenly in mo0on
v x
2v x
= 2
t
y
1 ini0al condi0on:
Diusion equa0on
at t=0, for all y 0,
vx = 0
at y=0, for all t> 0,
vx = U
at y=, for all t< ,
vx = 0
2 Boundary condi0ons:
Dene
CBE 141 Problem Set 7
Due: Fri, March 18
Please staple your solutions for Problem 1&2, 3&4, 5&6 separately and label your
discussion number (1 through 6), refer below:
(1) 105 Latimer, Mon 9:00 10:00 am Colin Burke
(2) 105 Latimer, Tues 8:00 9:00 am Miche