The dehydration butanol on alumina is carried out over a silica-alumina catalyst at 680 K.

CH3CH2CH2OH →CH3CH = CHCH3 + H2O

The rate law iswith k = 0. 054 mol/gcat·h·atm and KBu = 0. 32 atm^–1. Pure butanol enters a thin-tubed, packed-bed reactor at a molar flow rate of 50 kmol/hr and a pressure of 10 atm (1013·kPa).

Required:

a. What PBR catalyst weight is necessary to achieve 80% conversion in the absence of pressure drop?

b. What "fluidized CSTR" catalyst weight is necessary to achieve 80% conversio?

Question

22-03-2022
Physics

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The dehydration butanol on alumina is carried out over a silica-alumina catalyst at 680 K.

CH3CH2CH2OH →CH3CH = CHCH3 + H2O

The rate law iswith k = 0. 054 mol/gcat·h·atm and KBu = 0. 32 atm^–1. Pure butanol enters a thin-tubed, packed-bed reactor at a molar flow rate of 50 kmol/hr and a pressure of 10 atm (1013·kPa).

Required:

a. What PBR catalyst weight is necessary to achieve 80% conversion in the absence of pressure drop?

b. What "fluidized CSTR" catalyst weight is necessary to achieve 80% conversio?

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A) The PBR catalyst weight that is required to achieve 80% conversion in the absence of pressure drop is : 370 mg

B) The fluidized CSTR catalyst weight necessary to achieve 80% conversion is : 995.025 g

A) Determine the PBR catalyst weight

To calculate the PBR catalyst weight required to achieve 80% conversion in the absence of pressure drop we will apply the equation below

w = [tex]\frac{V_{o} }{KC_{ao}(1/x - 1 ) }[/tex] ---- ( 1 )

insert values into equation ( 1 )

w = [tex]\frac{50 kmol}{0.54 * 10 (\frac{1}{0.8}) * 1 }[/tex]

PBR catalyst weight ( w ) = 370 mg

B) Determine the fluidized CSTR catalyst weight necessary to achieve 80% conversion

applying the equation below

W = [tex]\frac{Fbwx}{-r'Bu}[/tex]

= [tex]\frac{50kmol/r * 0.8}{0.042mol/gcat.h}[/tex]

= 995.025 gcat

Hence we can conclude that The PBR catalyst weight that is required to achieve 80% conversion in the absence of pressure drop is : 370 mg The fluidized CSTR catalyst weight necessary to achieve 80% conversion is : 995.025 g.

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