# DBT JRF 2022 — Question 100

Exam: DBT JRF 2022 · Section: B · Topic: Bioprocess Engineering › Bioreactor Productivity & Volume · Difficulty: Medium

## Question

A continuous reactor has a productivity of 0.5 g/l/h. The volume of reactor required to produce 1.2 ton/day of the product is:

## Options

- **A.** 100 L
- **B.** $1 m^3$
- **C.** $10 m^3$
- **D.** $100 m^3$

## Answer

Option D

## Explanation

Bioreactor volume calculation for required productivity: Given: • Required production = 1.2 tonnes/day = $1.2 \times 10^6\,\text{g}$ per 24 hours • Volumetric productivity = 0.5 g/L/h Convert production to per-hour basis: $\text{Production rate} = \frac{1.2 \times 10^6\,\text{g}}{24\,\text{h}} = 50{,}000\,\text{g/h}$ Calculate required volume: $V = \frac{\text{production rate}}{\text{volumetric productivity}} = \frac{50{,}000\,\text{g/h}}{0.5\,\text{g/L/h}} = 100{,}000\,\text{L} = 100\,\text{m}^3$ Answer: Required bioreactor volume = 100,000 L = 100 m³.

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