# GATE2016-50

An enzyme converts substrate $A$ to product $B$. At a given liquid feed stream of o rate $25$ L.min$^{-1}$ and feed substrate concentration of $2$ mol.L$^{-1}$, the volume of continuous stirred tank reactor needed for $95 \%$ conversion will be __________L.

Given the rate equation: $-r_A = \dfrac{0.1C_A}{1+0.5C_A}$

where $-r_A$ is the rate of reaction in mol.L$^{-1}$.min$^{-1}$ and $C_A$ is the substrate concentration in mol.L$^{-1}$. Assumptions: Enzyme concentration is contant and does not undergo any deactivation during the reaction
in Others
retagged

## Related questions

1
The power required for agitation of non-aerated medium in fermentation is ___________kW. Operating conditions are as follows: Fermentor diameter $= 3$ m Number of impellers $= 1$ Mixing speed $= 300$ rpm Diameter of the Rushton turbine $= 1$ m Viscosity of the broth $= 0.001$ Pa.s Density of the broth $= 1000$ kg.m$^{-3}$ Power number $= 5$
2
A crossing was performed between the genotypes $\textit{DdEeFfgg}$ and $\textit{ddEeFfGg}$. Assuming that the allelic pairs of all genes assort independently, the proportion of progeny having the genotype $\textit{ddeeffgg}$ is expected to be _______ $\%$
The empirical formula for biomass of an unknown organism is $CH_{1.8}O_{0.5}N_{0.2}$. To grow this organism, ethanol $(C_2H_5OH)$ and ammonia are used as carbon and nitrogen sources, respectively. Assume no product formation other than biomass. To produce $1$ mole of biomass from $1$ mole of ethanol, the number of moles of oxygen required will be __________
$\textit{Saccharomyces cerevisiae}$ is cultured in a chemostat (continuous fermentation) at a dilution rate of $0.5 \: h^{-1}$. The feed substrate concentration is $10 \: g \cdot L^{-1}$. The biomass concentration in the chemostat at steady state will be _________ $g \cdot L^{-1}$. Assumptions: Feed ... $K_s = 0.3 \: g \cdot L^{-1}$ and $s$ is substrate concentration $(g \cdot L^{-1})$.
Decimal reduction time of bacterial spores is $23$ min at $121 ^\circ C$ and the death kinetics follow first order. One liter medium containing $10^5$ spores per $mL$ was sterilized for $10$ min at $121^\circ C$ in a batch sterilizer. The number of spores in the medium after sterilization (assuming destruction of spores in heating and cooling period is negligible) will be _________ $\times 10^7$.