Reactor Volume and Kinetics Calculator

Calculate the volume required for Continuously Stirred Tank (CSTR) and Plug Flow (PFR) reactors or find reaction rates for existing reactors.

Select the Type of Calculation You Want to Perform

CSTR Hacmini Hesapla ($V = F_{A0} \cdot X_A / (-r_A)$)

İdeal Sürekli Karıştırmalı Tank Reaktörleri (CSTR) için gerekli hacmi hesaplar. $-r_A$ değeri, reaktör çıkışındaki (yani hedeflenen dönüşüm noktasındaki) reaksiyon hızı olmalıdır.

$V_{CSTR} = \frac{F_{A0} \cdot X_A}{(-r_A)}$

$ \mathbf{F_{A0}} $: A maddesi giriş mol akış hızı
$ \mathbf{X_A} $: A maddesi dönüşümü (0 ile 1 arası ondalık)
$ \mathbf{(-r_A)} $: A maddesinin reaksiyon hızı (reaktör çıkışında)

Calculate PFR Volume (For 1st Degree Reactions)

Calculates the volume required for ideal Plug Flow Reactors (PFR), specifically for first order reactions. In a PFR the concentration and rate vary throughout the reactor.

$V_{PFR} = \frac{F_{A0}}{k \cdot C_{A0}} \ln\left(\frac{1}{1-X_A}\right)$

$ \mathbf{F_{A0}} $: A maddesi giriş mol akış hızı
$ \mathbf{k} $: Birinci dereceden reaksiyonun hız sabiti
$ \mathbf{C_{A0}} $: A maddesi giriş konsantrasyonu
$ \mathbf{X_A} $: A maddesi dönüşümü (0 ile 1 arası ondalık)

Calculate Reaction Rate (For CSTR)

Mevcut bir CSTR'nin hacmi, giriş mol akış hızı ve dönüşüm bilgileriyle, o reaktördeki reaksiyon hızını ($-r_A$) hesaplar. Bu, reaksiyon kinetiğini deneysel olarak belirlemede kullanılabilir.

$(-r_A) = \frac{F_{A0} \cdot X_A}{V_{CSTR}}$

$ \mathbf{F_{A0}} $: A maddesi giriş mol akış hızı
$ \mathbf{X_A} $: A maddesi dönüşümü (0 ile 1 arası ondalık)
$ \mathbf{V_{CSTR}} $: CSTR hacmi

What is Reactor Volume and Reaction Kinetics?

Chemical reactors are closed systems in which chemical reactions take place. Calculating the reactor volume is critical to determining how large a reactor is needed to produce the desired amount of product with a given conversion. This forms the basis of process design and economic evaluations. Reactor design combines many engineering principles, including reaction kinetics (how fast a reaction occurs), fluid mechanics (how substances move through the reactor), and heat transfer.

Reactor Types

Continuous Stirred Tank Reactor (CSTR): It is a type of reactor in which all fluids are assumed to be instantly and completely mixed. At every point in the reactor, the concentration, temperature and reaction rate are the same and equal to the outlet conditions. It is generally used in continuous feed and product outlet operations.
$V_{CSTR} = \frac{F_{A0} \cdot X_A}{(-r_A)}$
Plug Flow Reactor (PFR): It is in the form of a pipe or tube, and the fluid is assumed to move like a "plug" throughout the reactor, i.e. the different slices of fluid do not mix with each other. Concentration, temperature and reaction rate vary throughout the reactor. It is generally preferred for high conversion rates.
$V_{PFR} = F_{A0} \int_{X_{A0}}^{X_A} \frac{dX_A}{(-r_A)}$

Bu hesaplayıcıda, birinci dereceden reaksiyonlar için basitleştirilmiş formül kullanılmıştır: $V_{PFR} = \frac{F_{A0}}{k \cdot C_{A0}} \ln\left(\frac{1}{1-X_A}\right)$

Reaksiyon Hızı ($-r_A$) Nedir?

Reaksiyon hızı (örneğin $-r_A$, A maddesinin tüketim hızı), bir kimyasal reaksiyonun birim hacimde ve birim zamanda ne kadar hızlı ilerlediğini gösteren bir ölçüdür. Kinetik modelden veya deneysel verilerden elde edilebilir. Reaktör boyutlandırması için kritik bir parametredir.

$(-r_A) = \frac{F_{A0} \cdot X_A}{V_{CSTR}}$ (CSTR için)

Application Areas:

Design of complex systems such as polymerization and biochemical reactions (fermentation).
Sizing of bioreactors in wastewater treatment plants.
Process optimization in pharmaceutical production and fine chemicals synthesis.
Design of catalytic reactors in the petrochemical industry.

This calculator is a tool for basic reactor volume and reaction rate estimations under ideal CSTR and PFR conditions. In real industrial applications, perfect mixing is not always achievable, and many complex factors such as heating/cooling effects, pressure drops, side reactions, catalyst deactivation and non-ideal fluid behavior affect reactor design. More complex scenarios require detailed reactor modeling, process simulation software and engineering expertise. PFR volume calculation is simplified for first order reactions only.