An nth-order rate law is often used to model chemical reactions that solely depend on the concentration of a single reactant:
where c = concentration (mole), t = time (min), n = reaction order (dimensionless), and k = reaction rate (min-1 mole1-n). The differential method can be used to evaluate the parameters k and ra. This involves applying a logarithmic transform to the rate law to yield,

Therefore, if the nth-order rate law holds, a plot of the log(-dc/dt) versus log c should yield a straight line with a slope of n and an intercept of log k. Use the differential method and linear regression to determine k and n for the following data for the conversion of ammonium cyanate to urea:
t,min
0
5
15
30
45
c,mole
0.750
0.594
0.420
0.291
0.223
Step-by-step solution:
Step 1 of 5
Following is the given table:
t, min
c, mole
0
0.75
5
0.594
15
0.420
30
0.291
45
0.223
Following is given equation for pressure gradient for laminar flow
Applying logarithmic transformation to the rate law we get
An nth-order rate law is often used to model chemical reactions that solely depend on the concentration of a single reactant:
where c = concentration (mole), t = time (min), n = reaction order (dimensionless), and k = reaction rate (min-1 mole1-n). The differential method can be used to evaluate the parameters k and ra. This involves applying a logarithmic transform to the rate law to yield,

Therefore, if the nth-order rate law holds, a plot of the log(-dc/dt) versus log c should yield a straight line with a slope of n and an intercept of log k. Use the differential method and linear regression to determine k and n for the following data for the conversion of ammonium cyanate to urea:
t,min
0
5
15
30
45
c,mole
0.750
0.594
0.420
0.291
0.223
Step-by-step solution:
Step 1 of 5
Following is the given table:
t, min
c, mole
0
0.75
5
0.594
15
0.420
30
0.291
45
0.223
Following is given equation for pressure gradient for laminar flow
Applying logarithmic transformation to the rate law we get
Please solve it.
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