# GATE2012-55

$\beta$-Galactosidase bound to DEAE-cellulose is used to hydrolyze lactose to glucose and galactose in a plug flow bioreactor with a packed bed of volume $100$ liters and a voidage ($\epsilon$) of $0.55$. The $K’_m$ and $V’_m$; for the immobilized enzyme are $0.72 \: gl^{-1}$ and $18 \: gl^{-1}h^{-1}$, respectively. The lactose concentration in the field stream is $20 \: gl^{-1}$, and a fractional conversion of $0.90$ is desired. Diffusional limitations may be ignored.

The feed flow rate required for the above bioconversion will be

1. $50 \: lh^{-1}$
2. $55 \: lh^{-1}$
3. $137 \: lh^{-1}$
4. $550 \: lh^{-1}$
in Others
edited

## Related questions

1
$\beta$-Galactosidase bound to DEAE-cellulose is used to hydrolyze lactose to glucose and galactose in a plug flow bioreactor with a packed bed of volume $100$ liters and a voidage ($\epsilon$) of $0.55$. The $K'_m$ and $V'_m$; for the immobilized enzyme are $0.72 \: gl^{-1}$ ... time required for the steady state reactor operation will be $0.1 \: h$ $0.4 \: h$ $1.0 \: h$ $1.1 \: h$
2
$\text{Statement for Linked Answer Questions 52 and 53:}$ An E $coli$ cell of volume $10^{-12}$ $cm^3$ contains 60 molecules of lac-repressor. The repressor has a binding affinity (${K_d}$) of $10^{-8}$ M and $10^{-9}$ M ... lac-operon is repressed and can only be induced with lactose repressed and cannot be induced with lactose not repressed expressed only when glucose and lactose are present
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