Aspergillus niger is grown in a $10,000$ L stirred batch bioreactor under aerated conditions to produce citric acid. At steady state oxygen transfer conditions, the specific oxygen uptake rate of the organism and the volumetric mass transfer coefficient are $1 \times 10^{-4} \frac{g \text { oxygen consumed }}{g \text { biomass }} \mathrm{s}^{-1}$ and $60 \mathrm{~min}^{-1}$, respectively.
If the oxygen solubility is $8 \times 10^{-3} \mathrm{~kg} \mathrm{~m}^{-3}$ under the operating conditions, based only on oxygen dynamics, the maximum possible cell concentration is $\_\_\_\_\_\_\_$ $\mathrm{kg} \mathrm{m}^{-3}$ (Answer in integer).
