1. A ___ is a compact device that maintains the process
variable at a specific value in spite of disturbances in load
flow. Regulator
2. A 100-pound block is initially ay rest on a horizontal
plane. The coefficients of static and dynamic friction are
0.5 and 0.2, respectively. What magnitude of force applied
horizontally will bring the block to a point of impending
motion? 50 lb
3. A 20-kn force is pointing at 60o from the horizontal.
Determine the horizontal component of this force. 10.0
KN
4. A ball is drawn at random from a box containing 6 red
balls, 4 white balls, and 5 blue balls. Determine the
probability that it is not red. 0.60
5. A column requires 3 stages of rectification, where the
less-volatile component diminishes by a factor of 6 on
each stage. The 3 stages are equal to about 6 transfer units.
A packing characteristic HETP value of 15 inches is also
the height of a transfer unit in conditions similar to the
distillation tests. Estimate the minimum packing depth for
the column to provide the 3 theoretical stages. 90 inches
6. A cylindrical storage tank can have self-supported conical
roof if: Its diameter is less than 15 to 20 meters
7. A large corporation starts at time t = 0 to invest part of its
receipts at a rate of P dollars per year in a fund for future
corporate extension. The fund earns r percent interest per
year compounded continuously. The rate of growth of the
amount A in the fund is given by 𝑑𝑎/𝑑𝑡 = 𝑟𝐴 + 𝑃, where
A(t=0) = 0. The corporation needs $260,000,000 in 8
years and the fund earns 7.25% interest compounded
continuously. Find P. $23,981,015.77
8. A metal plating company wants to set aside money now to
prepare for a lawsuit it expects to face in four years. If the
company wants to have $1,000,000 available at that time,
how much must it set aside now in one lump sum if the
account will earn 1% per month? $620,300
9. A person invests $400 for 40 years in an account that
earns 9% interest per year. How much will this account
accumulate after 40 years have passed? $21,513.5
10. A PI controller has the transfer function G(s) = 2 + 4/s.
What is the integral time? 4
11. A PID controller has the transfer function G(s) = 4
+2/s+4s. What is the derivative time. 0.25
12. A population consist of the five numbers 2.13, 2.51, 2.11,
2.34, and 2.25. Find the standard deviation. 0.1470
13. A population consists of the five numbers 2, 3, 6, 8, and
11. Find the standard deviation of the population. 3.29
14. A printed circuit board has eight different locations in
which a component can be placed. If four different
components are to be placed on the board, how many
different designs are possible? 1680
15. A response versus log dose curve in which the response of
interest is an undesirable response that is not deadly but is
irreversible is called: a toxic dose curve
16. A senior control engineer makes six EOY deposits of
$2000 each in a savings account paying 5% compounded
annually. If the accumulated balance is withdrawn 4 years
after the last deposit, how much money will be
withdrawn? $18,413.51
17. A spring with a natural length of 10 inches is stretched 0.5
inch by a 12- pound force. Find the work done in
stretching the spring from 10 to 18 inches. 128 lb ∙ ft
18. A student’s grades in the laboratory, lecture, and recitation
parts of a physics course were 71, 78 and 89, respectively.
If the weights accorded to these grades are 2, 4, and 5,
respectively, what is an appropriate average grade? 82
19. A tank contains 1000 L of brine with 15 kg of dissolved
salt. Pure water enters the tank at a rate of 10L/min. The
solution is kept thoroughly mixed and drains from the
tank at the same rate. How much salt is in the tank after 20
minutes? 12.3 kg
20. A thermometer having a time constant of 0.1 min is at a
steady state temperature of 90 degrees F. At time t = 0 the
thermometer is placed in temperature bath maintained at
100 degrees F. Determine the time needed for the
thermometer to read 98 degrees Fahrenheit. 0.16 mins
21. A vacuum pump costs PHP 250,000.00 in 2000. The same
pump with twice the capacity would be purchased in
2004. Estimate the price of the pump using Marshall &
Swift Cost Index. PHP 391,350.00
22. A vat with 500 gallons of beer contains 4% alcohol by
volume. Beer with 6% alcohol is pumped into the vat at a
rate of 5 gal/min and the mixture is pumped out at the
same rate. What is the percentage of alcohol after an hour?
4.9%
23. A wet towel hung from a clothesline to dry loses moisture
through evaporation at a rate proportional to its moisture
content. After 1 hour, the towel has lost 40% of its
original moisture content. After how long will it have lost
80%? 3.15 h
24. An autocatalytic anodic reaction process, this type of
corrosion is an extremely localized attack that results in a
hole in the material. Pitting
25. An automation asset with a high first cost of $10,000,000
has a capital recovery of $1,985,000 per year. The correct
interpretation of this value is that: each year of its
expected life, a net revenue of $1,985,000 must be
realized to recover the first cost and the required ROI
26. An insect population increases by a constant number each
month. What kind of function will represent the number of
insects with time? Linear
27. An insect population increases by a constant percentage
each month. What kind of function will represent the
number of insects with time. Exponential
28. An interest rate of 1% per month is the same as: All of
these
29. An interest rate of effective 12% per year compounded
monthly is nearest to: Nominal 11.39% per year
compounded monthly.
30. An investor is to receive an annuity of 40,000 pesos per
year for 10 years, with the first payment to be made on
April 1, 2014. The investor offers to sell the annuity on
April 2017. With interest at 3.25% compounded annually,
what is the fair price? 336,896 pesos
31. An uncontrolled 1000-L stirred tank heater at steady state
takes 200 L/min of pure water, initially at 60°C, and heats
it to 80°C using an immersed heater delivering a constant
heating rate. The inlet water temperature suddenly
increases to 70°F. Determine the temperature of the water
at the outlet after 2 minutes. 85.1 C
32. Assume you borrow $10000 today and promise to repay
the loan in two payment, one in year 2 and other in year 4,
with the onein year 4 being only half as large as the one in
year 2. At an interest rate of 10% per year, the size of the
payment in year 4 will be: $4280
33. At time 𝑡 = 0 min, the temperature of an object is 140of.
The temperature 𝑦 of the object is changing at the rate
given by the differential equation: dy/dt = -0.5(y – 72).
Determine the temperature at 𝑡 = 2 min. 97.02
34. Cash flows that increase or decrease by a constant amount
each period of time can be modeled as: An arithmetic
gradient
35. Certain measurements cannot be used directly to control a
process; they must be converted to physical entities (e.g.,
electric voltage, current, pneumatic signal), which can be
transmitted with ease. What do you call such devices that
do the conversion. Transducers
36. Chlorofluorocarbons (cfcs) were once popularly used as
refrigerants and propellants, but most variants are now
banned and/or phased out because of their ozone-depleting
tendencies. Which global protocol formalized this ban on
ozone-depleting substances (ODS)? Montreal protocol
37. Concrete tanks can be used to store: Saturated brine
38. Determine the concentration at any time t by solving the
differential equation. (co- r/k)e^-kt
39. Determine the magnitude of the moment of the 800-N
force about point A. 132 N ∙ m
40. Determine the magnitude of the vector −256i+ 384j-192k.
200
41. Determine the rectangular representation of the position
vector A. 1.14i + 4.13j + 9.91k
42. Determine which of the following functions is a solution
of the differential equation 𝑥𝑦 ′ − 2𝑦 = 𝑥^3𝑒^𝑥. 𝑦 =
𝑥^2𝑒^x
43. Evaluate the indefinite integral: ∫(2𝑥 3 − 5𝑥 2 + 3𝑥 + 1)𝑑𝑥.
1/2 𝑥4 – 5/3 𝑥3 + 3/2 𝑥2 + 𝑥 + 𝐶
44. Evaluate the indefinite integral: ∫√7𝑥+4𝑑𝑥. 2/21 (√7𝑥 +
4)^3+C
45. Find a parabola y=ax^2+bx+c that passes through the
point (1,4) and whose tangent lines at x =-1 and x =5 have
slopes of 6 and -2, respectively. Y= -2/3x^2 + 14/3x
46. Find an equation of the curve that passes through the point
(0,1) and whose slope at (x,y) is xy. Y= e^(0.5x^2)
47. Find an equation of the graph that passes through the point
(0,2) and has the slope given by 𝑦 ′ = 𝑥/4𝑦. 4𝑦2 − 𝑥2 =16
48. Find the area of the region bounded by the curves y = x^2
and y=4x-x^2: 2.67 sq.u
49. Find the area of the region to the left of the parabola 𝑥 =
2𝑦^2, to the right of the y axis and between y = 1 and y =
3. 17.33 sq.u.
50. Find the arithmetic mean of the numbers: 5,3, 6, 5, 4, 5, 2,
8, 6, 5, 4, 8, 3, 4, 5, 4, 8, 2, 5, 4. 4.80
51. Find the average value of 1/x in the interval (1,4). 0.4621
52. Find the equation of the line that is normal to the graph of
𝑦 = 𝑥 3 − 𝑥 2 at (1,0) 𝑦 = 1 – x
53. Find the equation of the tangent line to the curve y = 9 –
2x^2 at the point (2,1): y = 17 – 8x
54. Find the general solution of the differential equation
(y+siny)y’=x+x^3. 2y^2-4cosy= 2x^2 +x^4+C
55. Find the general solution of 𝑦(4) + 2𝑦 ′′ + 𝑦 = 0. 𝐶1cos𝑥 +
𝐶2sin𝑥 + 𝐶3𝑥cos𝑥 + 𝐶4𝑥sinx
56. Find the probability that a single toss a six-sided die will
result in an even number. 0.5
57. For a faster response, the integral time parameters of a
composite controller (i.e., PID) must be: Adjusted to a
lower value.
58. For what values of r does the function y = e^rx satisfy the
differential equation 2y’’+y’ – y = 0 : –1, ½
59. For which values of the damping factor (in a process
transfer function) does a second-order system produce
oscillations in response to step disturbances? Less than 1
60. Fouling factor must be included in the calculation of
overall heat transfer coefficient when the liquid Contains
suspended solids flows at low velocity.
61. Glucose solution is administered intravenously into the
bloodstream at a constant rate r. As the glucose is added,
it is converted into other substances and removed from the
bloodstream at a rate that is proportional to the
concentration at that time. Thus a model for the
concentration C = C(t) of the glucose solution in the
bloodstream is dc dt = r − kc where k is a positive
constant. Suppose that the concentration at time t = 0 is
C0.
62. How does change in pipe diameter affect the pumping
cost for a given fluid? Increase in diameter means
decrease in pumping cost
63. If deposits are made monthly into a savings account and
you want to know how much will be in the account after 5
years, interest rate and n values you have to use are: any
of the choices
64. If you deposit $1000 per month into an account which
pays interest at a rate of 12% per year compounded
annually, the amount of money you would have at the end
of five years is nearest to: $76,234
65. In 2005 the heat exchanger that could handle 50 L/min
was purchased at a cost of $8,000. What would be the
expected cost of a similar heat exchanger that could
handle 100 L/min that was purchased in 2010? $14,265
66. In a condenser, the cooling water is passed in tube side in
a multiple-pass arrangement, because: It reduces the heat
transfer area
67. In a manufacturing plant, break-even point occurs when:
Total annual product cost = total annual sales
68. In a mixing process involving two streams of different
concentrations in one component, the concentration in one
stream suddenly drops to zero due to an injector failure. In
process dynamics, this disturbance can be modeled as. A
step function
69. In a mixing process involving two streams of different
concentrations in one component, the concentration in one
stream suddenly drops to zero due to an injector failure. In
process dynamics, this disturbance can be modeled as: a
negative step function
70. In determining relative or absolute minima of any function
𝑓(𝑥), The first derivative is set equal to zero, while the
second derivative must be negative
71. In how many ways can a committee of 4 people be chosen
out of 10 people. 210
72. In how many ways can committee of 5 people be chosen
out of 9 people? 126 (9!/(5!
𝑥
(9 − 5)!))
73. In most engineering economy studies, the best alternative
is the one which: cost the least
74. In the case of a continuous distillation column, an increase
in reflux ratio may result in all of the following except:
Lower cost for the reboiler heat supply
75. In the factorial method of cost estimation, the fixed capital
cost of the project, Cf, is given as a function of the total
purchase equipment cost, Cc, by the equation: Cf = lfcc,
where Lf is the Lang factor, which depends on the type of
process. What is the value of Lf for a predominantly fluids
processing plant? 5
76. In the industrial production of wine, what does racking
mean? Repeated sedimentation and decanting
77. In the sugar refining process, which pair of chemicals are
extensively used to Phosporic acid and hydrated lime A.
Carbonic acid and hydrated lime
