The specific volume of a super-heated steam is listed in steam table for various temperature. For example, at a pressure of 3000 lb/in² T, F 700 720 740 760 780 u. ft/Ibm 0.0977 0.12184 0.14060 0.15509 0.16643 By using Third Order Newton Divided Difference Interpolation, find the value of vat T = 724 °F ?
The specific volume of a super-heated steam is listed in steam table for various temperature. For example, at a pressure of 3000 lb/in² T, F 700 720 740 760 780 u. ft/Ibm 0.0977 0.12184 0.14060 0.15509 0.16643 By using Third Order Newton Divided Difference Interpolation, find the value of vat T = 724 °F ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:The specific volume of a super-heated steam is listed in steam table for various
temperature. For example, at a pressure of 3000 lb/in²
T. F
700
720
740
760
780
u. ft/Ibm 0.0977 0.12184 0.14060 0.15509 0.16643
By using Third Order Newton Divided Difference Interpolation, find the value of vat T
= 724 °F ?
Expert Solution
Step 1
Sol:-
| T | 700 | 720 | 740 | 760 | 780 |
|---|---|---|---|---|---|
| v | 0.0977 | 0.12184 | 0.1406 | 0.15509 | 0.16643 |
Numerical divided differences method to find solution
Newton's divided difference table is
| T | v | 1st order | 2nd order | 3rd order |
| 700 | 0.0977 | |||
| 0.00121 | ||||
| 720 | 0.12184 | 0 | ||
| 0.00094 | 0 | |||
| 740 | 0.1406 | 0 | ||
| 0.00072 | 0 | |||
| 760 | 0.15509 | 0 | ||
| 0.00057 | ||||
| 780 | 0.16643 |
Step by step
Solved in 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
