Write a program to make a table of the physical properties for water in the range of temperatures from 273 to 323 K. The Density : p= 1200.92 – 1.0056 T + 0.001084 T² The conductivity: K= 0.34 + 9.278 * 104 T The Specific heat: Cp = 0.015539 (T – 308.2)² + 4180.9
Write a program to make a table of the physical properties for water in the range of temperatures from 273 to 323 K. The Density : p= 1200.92 – 1.0056 T + 0.001084 T² The conductivity: K= 0.34 + 9.278 * 104 T The Specific heat: Cp = 0.015539 (T – 308.2)² + 4180.9
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![Practice Problems
1) Write a program to make a table of the physical properties for water in the range of
temperatures from 273 to 323 K.
The Density :
The conductivity: K= 0.34 + 9.278 * 104 T
The Specific heat: C, = 0.015539 (T – 308.2)² + 4180.9
p= 1200.92 – 1.0056 T + 0.001084 T²
2) Define the 5 x 4 matrix, g.
- 0.5
0.6
1.5
2.3
8.2
0.5
- 0.1 - 2.0
g =| 5.7
8.2
9.0
1.5
0.5
0.5
2.4
0.5
1.2 - 2.3 - 4.5
0.5
Find the content of the following matrices and check your results for content using
Matlab.
a) a = g(:,2)
b) a = g(4,:)
c) a = g(4:5,1:3)
d) a = g(1:2:5,:)
e) a=sum(g)
3) Given the arrays x = [1 3 5], y = [2 4 6] and A = [3 1 5 ; 5 9 7], Calculate;
а) х+у
b) x'+ y'
c) A - [x ; y]
d) [x; y].*A
e) А-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b999971-b37b-44e1-8a6b-907495587b52%2F5aafdb2a-f72c-415e-bbfb-c3ca11c26140%2F4f0a85v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Practice Problems
1) Write a program to make a table of the physical properties for water in the range of
temperatures from 273 to 323 K.
The Density :
The conductivity: K= 0.34 + 9.278 * 104 T
The Specific heat: C, = 0.015539 (T – 308.2)² + 4180.9
p= 1200.92 – 1.0056 T + 0.001084 T²
2) Define the 5 x 4 matrix, g.
- 0.5
0.6
1.5
2.3
8.2
0.5
- 0.1 - 2.0
g =| 5.7
8.2
9.0
1.5
0.5
0.5
2.4
0.5
1.2 - 2.3 - 4.5
0.5
Find the content of the following matrices and check your results for content using
Matlab.
a) a = g(:,2)
b) a = g(4,:)
c) a = g(4:5,1:3)
d) a = g(1:2:5,:)
e) a=sum(g)
3) Given the arrays x = [1 3 5], y = [2 4 6] and A = [3 1 5 ; 5 9 7], Calculate;
а) х+у
b) x'+ y'
c) A - [x ; y]
d) [x; y].*A
e) А-3
![1) Find the 3rd order polynomial that satisfies the data of water for saturation temperature
and pressure. By using the predicted polynomial compute the saturation pressure at 65 C.
Temp(C) 0
Pre. (kPa) .6108 1.227 2.337 4.241 7.375 12.335 19.92 31.16 47.36 70.11 101.33
10
20
30
40
50
60
70
80
90
100
2) A vapor pressure vs. temperature thermodynamic process has the following data.Write a
MATLAB program to calculate the values of constants A and B in following equation.
B
og( P°) = A-
T+ 273.15
Temp (C) | -36.7 | -19.6 -11.5
Pre. (kPa)
-2.6
7.6
15.4
26.1
42.2
60.6
80.1
1
5
10
20
40
60
100
200
400
760
3) The experimental velocity of an incompressible fluid in a pipe of radius 1 m is tabulated
as below:
Second Class \ Lec. 5
47
Computer Programming (II)
Dr. Saad Raheem
r (m)
0.0
0,1
0,2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
V
1.0
0.99
0.96
0.91| 0.84
0.75 0.64 0.51 0.36 0.19
0.0
Where: r is the distance from the centre of the pipe and u is the velocity of the fluid.
Write a MATLAB program to fit the experimental velocity to the following function:
u=a+br+cr?
4) Fully developed flow moving a 40 cm diameter pipe has the following velocity profile:
Radius r, cm
0.0
2.5
5.0
7.5
10.0
12.5
15.0
17.5
20.0
Velocity v, m/s 0.914 0.890 0.847 0.795 0.719 0.543 0.427 0.204
Find the volumetric flow rate Q using the relationship Q = S" 2arvdr.
Where r is the radial axis of the pipe, R is the radius of the pipe and v is the velocity.
Solve the problem using two steps.
(a) Fit a polynomial curve to the velocity data using polyfit.
(b) Integrate the equation using int.
5) The rate at which a substance passes through a membrane is determined by the diffusivity
D,(cm?/s) of the gas. D varies with the temperature T (K) according to the following law:
D = D,exp (-E/RT) Where:
D, is the pre-exponential factor
E is the activation energy for diffusion
R=1.987 cal/mol K.
Diffusivities of SOɔ in a certain membrane are measured at several temperatures with
the data listed below.
| T(K)
347
374.2
396.2
420.7
447.7
471.2
D(cm/s)x10°
1.34
2.5
4.55
8.52
14.07
19.99
Write a MATLAB program to calculate the values of D, and E.
6) A constant temperature, pressure-volume thermodynamic process has the following data:
Pressure (kpa)
420
368
333
326
312
242
207
Volume (m³)
0.5
3
6
8
10
11
We know that W = S pdV. Where W is work, p is pressure, and V is volume. Calculate
the work required to compression from 5 m³ to 2 m³.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b999971-b37b-44e1-8a6b-907495587b52%2F5aafdb2a-f72c-415e-bbfb-c3ca11c26140%2Fac7xu8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) Find the 3rd order polynomial that satisfies the data of water for saturation temperature
and pressure. By using the predicted polynomial compute the saturation pressure at 65 C.
Temp(C) 0
Pre. (kPa) .6108 1.227 2.337 4.241 7.375 12.335 19.92 31.16 47.36 70.11 101.33
10
20
30
40
50
60
70
80
90
100
2) A vapor pressure vs. temperature thermodynamic process has the following data.Write a
MATLAB program to calculate the values of constants A and B in following equation.
B
og( P°) = A-
T+ 273.15
Temp (C) | -36.7 | -19.6 -11.5
Pre. (kPa)
-2.6
7.6
15.4
26.1
42.2
60.6
80.1
1
5
10
20
40
60
100
200
400
760
3) The experimental velocity of an incompressible fluid in a pipe of radius 1 m is tabulated
as below:
Second Class \ Lec. 5
47
Computer Programming (II)
Dr. Saad Raheem
r (m)
0.0
0,1
0,2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
V
1.0
0.99
0.96
0.91| 0.84
0.75 0.64 0.51 0.36 0.19
0.0
Where: r is the distance from the centre of the pipe and u is the velocity of the fluid.
Write a MATLAB program to fit the experimental velocity to the following function:
u=a+br+cr?
4) Fully developed flow moving a 40 cm diameter pipe has the following velocity profile:
Radius r, cm
0.0
2.5
5.0
7.5
10.0
12.5
15.0
17.5
20.0
Velocity v, m/s 0.914 0.890 0.847 0.795 0.719 0.543 0.427 0.204
Find the volumetric flow rate Q using the relationship Q = S" 2arvdr.
Where r is the radial axis of the pipe, R is the radius of the pipe and v is the velocity.
Solve the problem using two steps.
(a) Fit a polynomial curve to the velocity data using polyfit.
(b) Integrate the equation using int.
5) The rate at which a substance passes through a membrane is determined by the diffusivity
D,(cm?/s) of the gas. D varies with the temperature T (K) according to the following law:
D = D,exp (-E/RT) Where:
D, is the pre-exponential factor
E is the activation energy for diffusion
R=1.987 cal/mol K.
Diffusivities of SOɔ in a certain membrane are measured at several temperatures with
the data listed below.
| T(K)
347
374.2
396.2
420.7
447.7
471.2
D(cm/s)x10°
1.34
2.5
4.55
8.52
14.07
19.99
Write a MATLAB program to calculate the values of D, and E.
6) A constant temperature, pressure-volume thermodynamic process has the following data:
Pressure (kpa)
420
368
333
326
312
242
207
Volume (m³)
0.5
3
6
8
10
11
We know that W = S pdV. Where W is work, p is pressure, and V is volume. Calculate
the work required to compression from 5 m³ to 2 m³.
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