Chemical Engineering

CSTR Volume Sizing for First-Order Irreversible Reaction calculator

CSTR Volume Sizing for First-Order Irreversible Reaction engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate CSTR Volume Sizing for First-Order Irreversible Reaction

Calculator

Required CSTR volume (m³)
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Result Interpretation

CSTR Volume Sizing for First-Order Irreversible Reaction calculator computes Required CSTR volume in m^3 using the defined engineering formula and the input values provided. Required CSTR volume is expressed in m^3. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Molar feed rate of A = 2.5
  • Desired fractional conversion of A = 0.75
  • First-order rate constant = 0.02
  • Inlet molar concentration of A = 800

Expected Result:

  • Required CSTR volume = 0.46875

Engineering Interpretation:

Under the given input conditions, the calculated result is: Required CSTR volume = 0.46875 m^3.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

required cstr volume = molar feed rate of a * desired fractional conversion of a / (first-order rate constant * inlet molar concentration of a * (1 - desired fractional conversion of a))

Formula family: formula_chemical_cstr_volume_sizing_for_first_order_irreversible_reaction

Variables

SymbolLabelRoleDescription
F_A0 Molar feed rate of A INPUT Molar feed rate of A
X Desired fractional conversion of A INPUT Desired fractional conversion of A
k First-order rate constant INPUT First-order rate constant
C_A0 Inlet molar concentration of A INPUT Inlet molar concentration of A
cstr_volume Required CSTR volume OUTPUT Required CSTR volume

Calculation Steps

  1. Enter the molar feed rate of a in mol/s.
  2. Enter the desired fractional conversion of a in dimensionless.
  3. Enter the first-order rate constant in 1/s.
  4. Enter the inlet molar concentration of a in mol/m^3.
  5. Step 1: Compute required cstr volume.
  6. Read the required cstr volume (m^3) from the results.

Engineering Summary

Calculate CSTR Volume Sizing for First-Order Irreversible Reaction

Frequently Asked Questions

What does this calculator calculate?

The CSTR Volume Sizing for First-Order Irreversible Reaction calculator estimates Required CSTR volume based on the input parameters you provide

Why is molar feed rate of a important in this calculation?

molar feed rate of a is directly proportional to required cstr volume. When you enter molar feed rate of a in mol/s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result required cstr volume?

The calculator outputs required cstr volume in m^3. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Molar feed rate of A (mol/s), Desired fractional conversion of A (dimensionless), First-order rate constant (1/s), Inlet molar concentration of A (mol/m^3). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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