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Problem: The progress of a homogeneous chemical reaction is followed, and it is desired to evaluate the rate constant and the order of the reaction. The rate law expression for the reaction is known to follow the power function form: C (mol/l) -r (mol/l.s) 4 0.398 2.25 0.298 -r=kCn 1.45 0.238 1.0 0.198 0.65 0.158 0.25 0.098 0.006 0.048 a) Write the linear form of the above equation you would use for non-linear regression. b) Following part a), identify the new variables which would give you a linear equation. c) Using the results in parts a) and b) above, find the new set of data points from the given set of data. d) Find the equation of the line of best fit and actual equation as well. e) Find the values of k and n. Round your final answers to 3 significant digits.

Problem: The progress of a homogeneous chemical reaction is followed, and it is desired to evaluate the rate constant and the order of the reaction. The rate law expression for the reaction is known to follow the power function form: $−r=kC_{n}$ a) Write the linear form of the above equation you would use for non-linear regression. b) Following part a), identify the new variables which would give you a linear equation. c) Using the results in parts a) and b) above, find the new set of data points from the given set of data. d) Find the equation of the line of best fit and actual equation as well. e) Find the values of $k$ and $n$. Round your final answers to 3 significant digits.

a) The linear form of the rate law expression can be obtained by taking the logarithm of both sid...

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