Enter the reaction rate, conversion, and flow rate into the calculator to determine the reactor volume. This calculator helps in designing and analyzing chemical reactors.

Reactor Volume Formula

The following formula is used to calculate the reactor volume.

VR = (F * X) / k

Variables:

  • VR is the reactor volume (liters)
  • F is the flow rate (liters per second)
  • X is the conversion (dimensionless)
  • k is the reaction rate (moles per liter per second)

To calculate the reactor volume, multiply the flow rate by the conversion, then divide by the reaction rate.

What is Reactor Volume?

Reactor volume is the space within a chemical reactor where the reaction takes place. It is a critical parameter in the design and operation of a reactor, as it affects the residence time of reactants and the overall conversion of reactants to products. The volume is determined based on the desired conversion, the flow rate of reactants, and the reaction rate. It is essential for ensuring that the reactor can achieve the required production rate and product quality.

How to Calculate Reactor Volume?

The following steps outline how to calculate the Reactor Volume.


  1. First, determine the flow rate (F) in liters per second.
  2. Next, determine the conversion (X), which is dimensionless.
  3. Next, determine the reaction rate (k) in moles per liter per second.
  4. Next, gather the formula from above = VR = (F * X) / k.
  5. Finally, calculate the Reactor Volume (VR) in liters.
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

flow rate (F) = 1.5 L/s

conversion (X) = 0.85

reaction rate (k) = 0.02 mol/L·s