Question

R2 - HOMOGENEOUS REACTOR (THE HYDROLYSIS OF PHTHALIC ANHYDRIDE) The following hydrolysis of phthalic anhydride (PAN) to phthalic acid (PA) reaction takes place in a batch homogeneous reactor. PAN + H20 - PA Two sets of experiments are carried out at 30 and 35°C with the same initial phthalic anhydride concentration. The reaction rate is first order with respect to PAN. The data obtained from the experimental results are given below; Temperature Phthalic Acid (°C) (min) Concentration (mol/liter) Time 30 10 20 30 0.013 0.023 0.029 0.021 0.029 0.034 35 10 20 30 [3] a) Find out phthalic anhydride conversion at 30°C after 30 minutes if the the initial phthalic anhydride concentration is 0.04 mol/L. [5] b) Determine the reaction rate constants, k at given temperatures by plotting the necessary graph. [4] c) Calculate the reaction parameters, frequency factor (ko-also known as (A) and activation energy (EA). [3] d) Determine the reaction rate constant at 40°C. [5] e) Calculate the conversion if the required reaction time is 17 min at 40°C. Given Data: Arrhenius Equation: k = koe-E/RT R-8.314 J/mol.K

Answer 1

t 0 0 10 20 30 40 -0.5 -1 -1.5 Inc -2 Series1 -2.5 -Linear (Series1) y = 0.0401x - 4.6875 -3 -3.5 -4 -4.5 -5

t -3.3 0 10 20 30 40 -3.4 y = 0.0241x -4.0769 Inc -3.5 Series1 -3.6 Linear (Series1) -3.7 -3.8 -3.9

lnC=lnC₀-kt(For first order reactions)

a)From the plots, we get k =0.04 (1/min.)

X=1-exp(-k*t)

=1-exp(-0.0401*30)

=0.699

b)k1=0.04(1/min.) k2=0.024(1/min.) [From slopes of the plots]

c)From plot of

lnK=lnA-(Ea/RT)

1/1 -3.1 0.003230.003240.003250.003260.003270.003280.00329 0.0033 -3.2 -3.3 y = 10260x - 3.6971 Ink -3.4 Series1 Linear (Series1) -3.5 -3.6 -3.7 -3.8

From slope and intercept values.we get Ea=(85301 J/mol),A=0.024(1/min.)

d)By using of arrhenius equation,we get

ln(k2/k1)=E/R((1/T1)-(1/T2))

k1=0.0401 (1/min.) at T1=303.15K

k2 be at T2=313.15K

By solving from the above equation,we get

k2(40⁰C)=0.118(1/min.)