Complete GATE CH 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 15 of 22

Question 43

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Alumina particles with an initial moisture content of 5 kg per kg dry solid are dried in a batch dryer. For the first two hours, the measured drying rate is constant at 2 kg m

h

. Thereafter, in the falling-rate period, the rate decreases linearly with the moisture content. The equilibrium moisture content is 0.05 kg per kg dry solid and the drying area of the particles is 0.5 m

per kg dry solid. The total drying time, in h, to reduce the moisture content to half its initial value is
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Question 44

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A first-order heterogeneous reaction

is carried out using a porous spherical catalyst. Assume isothermal conditions, and that intraphase diffusion controls the reaction rate. At a bulk

concentration of 0.3 mol L

, the observed reaction rate in a 3 mm diameter catalyst particle is 0.2 mol s

L

catalyst volume. At a bulk

concentration of 0.1 mol L

, the observed reaction rate, in mol s

L

catalyst volume, in a 6 mm diameter catalyst particle, is
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Question 45

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A first-order liquid phase reaction

is carried out in two isothermal plug flow reactors (PFRs) of volume 1 m

each, connected in series. The feed flow rate and concentration of

to the first reactor are 10 m

h

and 1 kmol m

, respectively. At steady-state, the concentration of

at the exit of the second reactor is 0.2 kmol m

. If the two PFRs are replaced by two equal-volume continuously stirred tank reactors (CSTRs) to achieve the same overall steady-state conversion, the volume of each CSTR, in m

, is
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