a) Derivation of the general equation for Interpolation: Develop from scratch the equation for interpolation you need to develop the equation in terms of x,x1,X2,y,Y1,Y2 etc... no numbers, you need to derive the general expression for y. Show every single step of this process, add comments when necessary to explain what you are doing, this procedure must show that you understand very well how to derive this equation. Also mention under which condition/assumption this equation is valid.
a) Derivation of the general equation for Interpolation: Develop from scratch the equation for interpolation you need to develop the equation in terms of x,x1,X2,y,Y1,Y2 etc... no numbers, you need to derive the general expression for y. Show every single step of this process, add comments when necessary to explain what you are doing, this procedure must show that you understand very well how to derive this equation. Also mention under which condition/assumption this equation is valid.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:a) Derivation of the general equation for Interpolation: Develop from scratch the equation for
interpolation you need to develop the equation in terms of x,X1,X2,y,y1,Y2 etc... no numbers, you need to
derive the general expression for y. Show every single step of this process, add comments when necessary to
explain what you are doing, this procedure must show that you understand very well how to derive this
equation. Also mention under which condition/assumption this equation is valid.
b) Interpolation: Using the equation you derived in a), estimate the dynamic viscosity liquid water in
(kg/m-s) at 31.7 °C. Show ALL your work in detail, write a statement indicating if the results makes sense.
c) Extrapolation: Estimate the enthalpy of vaporization for water in (kJ/kg) at 57.6 °C. Derive a new
equation if necessary. Show ALL your work in detail, write a statement indicating if the results makes sense.
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