Chemical Reaction Engineering
For identical flow rate, feed composition and for elementary first order reactions, 'N' equal sized mixed reactors in series with a total volume 'V' gives the same conversion as a single plug flow reactor of volume 'V' for constant density systems. This is true, when the value of 'N' is

≥1
1
>1

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Chemical Reaction Engineering
For a tubular reactor with space time 'τ' and residence time 'θ', the following statement holds good.

τ = θ , for an isothermic tubular reactor in which the density of the process fluid is constant
τ = θ , for a non-isothermal reactor
τ and θ are always equal
τ = θ , when the fluid density changes in the reactor

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