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Q63

REVIEWNATpage 39holdmath reviewREVIEW_MATH_COMPLEXP2UNREVIEWED

type=NAT · page=39–40 · marks=2 · content_conf=0.7999999999999999 · math_conf=0.792

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Source / evidence

file: GATE CH 2020 (with Solutions).pdf

pages: 39–40

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A /text{catalytic} gas /text{phase} /text{reaction} P /rightarrow Q /text{is} /text{conducted} /text{in} /text{an} /text{isothermal} /text{packed} bed /text{reactor} /text{operated} /text{at} /text{steady} /text{state} . /text{The} /text{reaction} /text{is} /text{irreversible} /text{and} /text{second} /text{order} /text{with} /text{respect} /text{to} /text{the} /text{reactant} P . /text{The} /text{feed} /text{is} /text{pure} P /text{with} a /text{volumetric} /text{flow} /text{rate} /text{of} 1.0 /text{liter} /text{minute}^{-1} /text{and} /text{concentration} /text{of} 2.0 mol /text{liter}^{-1} .

In addition, use the following assumptions • The reactant the product are ideal gases • There is no volume change associated with the reaction • Ideal plug flow conditions prevail in the packed bed

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Options

none

Answer

0.5

Solution

W = 48

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

C_a = /frac{0.4mo}{l}

C_a = C_{a_0} ⇒ 2(1-x_n) = 0.4

⇒1-x_a = 0.2 ⇒ x_a = 0.8

For PRR –

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[]0.8

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[VISUAL / REVIEW — NO INVENTED LATEX]

2 = /frac{⁰1}{K}(2)[/frac{0.8^0}{(1-0.8)}-/frac{0^0}{(1-0)}]

K = /frac{1^2}{(2 /times 4)}[/frac{0.8}{0.2}]

⇒K = /frac{1}{2}

⇒ K =0.5

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Raw text

Cₐ₀=2 mol/l{Fₐ₀=Cₐ₀.v₀=2 mol/l×1 l/min=2 mol/min

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

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