Linear Regression Analysis II: The data below shows the constant “k” atdifferent temperatures (in Kelvin, K). Temperature (K) Constant k 273 6.83 x 10^-5 298 2.26 x 10^-4 308 5.19 x 10^-4 Plot the Temperature in the x-axis and ”k” in the y-axis. Insert the graph in the space below. Is the graph linear? Take the reciprocal of Temperature (1/K units) and ln of k. Write the values in the table below                      1                 (1/K) Ln k ???????????           Plot ???????????1 in the x-axis and ”ln k” in the y-axis, using the values in (b). Insert the graph below. Is the graph linear? Extract the equation of the line using either a scientific calculator orExcel. Determine the slope (do not forget the sign) and the intercept. Bonus question: Suppose you are interested in determining the temperature at which k=7.50 x 10^-4, then enumerate the steps that you need to do. Hint: Solve it mathematically by using your answer in (e).

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
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  1. Linear Regression Analysis II: The data below shows the constant “k” atdifferent temperatures (in Kelvin, K).

Temperature (K)

Constant k

273

6.83 x 10^-5

298

2.26 x 10^-4

308

5.19 x 10^-4

  1. Plot the Temperature in the x-axis and ”k” in the y-axis. Insert the

graph in the space below. Is the graph linear?

  1. Take the reciprocal of Temperature (1/K units) and ln of k. Write the

values in the table below

                     1                 (1/K)

Ln k

???????????

 

 

 

 

 

  1. Plot ???????????1 in the x-axis and ”ln k” in the y-axis, using the

values in (b). Insert the graph below. Is the graph linear?

  1. Extract the equation of the line using either a scientific calculator orExcel.
  2. Determine the slope (do not forget the sign) and the intercept.
  3. Bonus question: Suppose you are interested in determining the

temperature at which k=7.50 x 10^-4, then enumerate the steps that you need to do. Hint: Solve it mathematically by using your answer in (e).

Expert Solution
Step 1

Given data:

The values of k at different temperature is given.

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