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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. This statement is necessary to get full marks for this question. 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. This statement is necessary to get full marks for this question.

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. This statement is necessary to get full marks for this question. 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. This statement is necessary to get full marks for this question.

Introduction to Chemical Engineering Thermodynamics
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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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. This statement is necessary to get full marks for this question. 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. This statement is necessary to get full marks for this question.
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. This statement is necessary to get full marks for this question. 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. This statement is necessary to get full marks for this question.
Properties of saturated water Enthalpy of Specific Thermal Density, Нeat, Conductivity, k W/m . °C Saturation Vapori- Dynamic Viscosity, p kg/m3 Cp J/kg . °C u. kg/m · s Temp., Pressure, zation, T°C Psat kPa Liquid Vapor hg kJ/kg Liquid Vapor Liquid Vapor Liquid Vapor 0.01 0.6113 999.8 0.0048 2501 4217 1854 0.561 0.0171 1.792 x 10-3 0.922 x 10-5 4205 1857 0.571 0.0173 1.519 x 10-3 0.934 x 10-5 1862 0.580 0.0176 1.307 x 10-3 0.946 x 10-5 0.8721 999.9 0.0068 2490 10 1.2276 999.7 0.0094 2478 4194 15 1.7051 999.1 0.0128 2466 4186 1863 0.589 0.0179 1.138 x 10-3 0.959 x 10-5 20 2.339 998.0 0.0173 2454 4182 1867 0.598 0.0182 1.002 x 10-3 0.973 x 10-5 25 3.169 997.0 0.0231 2442 4180 1870 0.607 0.0186 0.891 x 10-3 0.987 x 10-5 30 4.246 996.0 0.0304 2431 4178 1875 0.615 0.0189 0.798 x 10-3 1.001 x 10-5 35 5.628 994.0 0.0397 2419 4178 1880 0.623 0.0192 0.720 x 10-3 1.016 x 10-5 7.384 1885 0.631 0.0196 0.653 x 10-3 1.031 × 10-5 1892 0.637 0.0200 0.596 x 10-3 1.046 x 10-5 1900 0.644 0.0204 0.547 x 10-3 1.062 x 10-5 40 992.1 0.0512 2407 4179 45 9.593 990.1 0.0655 2395 4180 50 12.35 988.1 0.0831 2383 4181
Transcribed Image Text:Properties of saturated water Enthalpy of Specific Thermal Density, Нeat, Conductivity, k W/m . °C Saturation Vapori- Dynamic Viscosity, p kg/m3 Cp J/kg . °C u. kg/m · s Temp., Pressure, zation, T°C Psat kPa Liquid Vapor hg kJ/kg Liquid Vapor Liquid Vapor Liquid Vapor 0.01 0.6113 999.8 0.0048 2501 4217 1854 0.561 0.0171 1.792 x 10-3 0.922 x 10-5 4205 1857 0.571 0.0173 1.519 x 10-3 0.934 x 10-5 1862 0.580 0.0176 1.307 x 10-3 0.946 x 10-5 0.8721 999.9 0.0068 2490 10 1.2276 999.7 0.0094 2478 4194 15 1.7051 999.1 0.0128 2466 4186 1863 0.589 0.0179 1.138 x 10-3 0.959 x 10-5 20 2.339 998.0 0.0173 2454 4182 1867 0.598 0.0182 1.002 x 10-3 0.973 x 10-5 25 3.169 997.0 0.0231 2442 4180 1870 0.607 0.0186 0.891 x 10-3 0.987 x 10-5 30 4.246 996.0 0.0304 2431 4178 1875 0.615 0.0189 0.798 x 10-3 1.001 x 10-5 35 5.628 994.0 0.0397 2419 4178 1880 0.623 0.0192 0.720 x 10-3 1.016 x 10-5 7.384 1885 0.631 0.0196 0.653 x 10-3 1.031 × 10-5 1892 0.637 0.0200 0.596 x 10-3 1.046 x 10-5 1900 0.644 0.0204 0.547 x 10-3 1.062 x 10-5 40 992.1 0.0512 2407 4179 45 9.593 990.1 0.0655 2395 4180 50 12.35 988.1 0.0831 2383 4181
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