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Q62

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type=NAT · page=38–39 · marks=2 · content_conf=0.7999999999999999 · math_conf=0.742

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Source / evidence

file: GATE CH 2020 (with Solutions).pdf

pages: 38–39

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The liquid phase irreversible reactions, P⎯ᵏ⎯

¹ /rightarrow

QandP⎯ᵏ⎯

² /rightarrow R,

are carried out in an ideal continuous stirred tank reactor (CSTR) operating isothermally at steady state. The space time of the CSTR is 1 minute. Both the reactions are first order with respect to the reactant P, and

k_1

andk

₂

denote the rate constants of the two reactions. At the exit of the reactor, the conversion of reactant P is 60 %, and the selectivity of Q with respect to R is 50 %. The value of the first order rate constant

k_1

(in minute[VISUAL / REVIEW — NO INVENTED LATEX] Source math clip

is ____(correct up to one decimal places).

Options

none

Answer

0.5

Solution

KQ1PK2R

Xₚ=0.6

K_1 = ? /text{For} M_{/mathrm{FR}}

Concentration he tank will be same as that of at outlet

.

r_Q

S = /frac{=K_1C_p}{K_2}C_2K_2 = 2K_1

r_r

.

1 = /frac{0.6}{(K_1+K)}(0.4)

K_1+K_2 = /frac{3^2}{2}

3K_1 = /frac{3}{2}

K_1 = 0.5/min

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Source PDF: GATE CH 2020 (with Solutions).pdf

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