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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 ?
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:-

The value of table for T and v

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      
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