(Solved): The Arrhenius equation models the temperature dependence of a chemical reaction rate. The formula ...

The Arrhenius equation models the temperature dependence of a chemical reaction rate. The formula is most commonly written as \[ k=A e^{\frac{-E_{a}}{R T}} \] where \( k \) is the rate constant in units of inverse seconds, \( T \) is the temperature in units of Kelvin, \( A \) is the pre-exponential factor that is a constant for a specific chemical reaction, \( E_{a} \) is the activation energy (also a constant) for the reaction with units of Joules/mole, and \( R \) is the ideal gas constant and has a value of \( 8.31447 \) Joules/(mole-Kelvin). Note the \( e \) in the formula is the exponential function. Consider a reaction in which \( E_{a}=1.11 \times 10^{5} \) Joules/mole and \( A=2.126 \times 10^{9} \) inverse seconds. Write a script to compute values of \( k \) for temperatures ranging from 250 Kelvin to 400 Kelvin in increments of 2 Kelvin. Assign the temperature values to a row vector variable tempKelvin. Assign the \( k \) values to a row vector variable reactionRate. Next use the semilogy command to generate a properly-labeled graph of \( k \) versus \( T \) using a logarithmic axis for \( k \) (the \( y \)-axis). The semilogy command works the same as the plot command. You just type semilogy instead of plot. Use MATLAB commands to add an appropriate title and axis labels to the figure. Be sure to look at the scale of the horizontal and vertical axes to see why we want to use a semilog type plot here. Solve this problem using vectorized code (i.e. use vectors and do not use a loop in your solution.) Do not use the legend command as there is only a single line on the plot. Solution Details Assessment: 2 of 6 Tests Passed \( (33 \%) \) (8) Are values assigned to tempKelvin correct? (Pretest) Variable tempKelvin must be of size [1 76]. It is currently of size [76 1]. Check where the variable is assigned a value. Use the double colon operator to create this vector. start:increment:stop (8) Are values assigned to reactionRate correct? Variable reactionRate must be of size [1 766\( ] \). It is currently of size [76 1]. Check where the variable is assigned a value. \( 0 \%(17 \%) \) Double check order of operations. Did you use the appropriate elementwise operator? \( >\otimes \) Does your script include the MATLAB commands necessary to generate the figure as specified? (Pretest) The submission must contain the following functions or keywords: semilogy, xlabel, ylabel, title \( 0 \% \quad(17 \%) \) Is solution approach free of loops (for and while)? (Pretest) \( \otimes \) Does the plot contain the correct values? \( 0 \% \quad(16 \%) \) No plot created. Do not use the legend command here with just a single line \( 16 \% \quad(16 \%) \)