Quick Answer
The activated carbon filter breakthrough time predictor (yoon-nelson model) calculator computes breakthrough time from the input values you provide.
Calculator
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Find Engineering Solutions →Result Interpretation
Activated Carbon Filter Breakthrough Time Predictor (Yoon-Nelson Model) calculator computes Breakthrough time in s using the defined engineering formula and the input values provided. Breakthrough time is expressed in s. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Yoon-Nelson rate constant = 0.001
- Inlet adsorbate concentration = 0.0002
Expected Result:
- Breakthrough time = 693.14718055995
Engineering Interpretation:
Under the given input conditions, the calculated result is: Breakthrough time = 693.14718055995 s.
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
breakthrough time = (1 / yoon-nelson rate constant) * log((inlet adsorbate concentration / (inlet adsorbate concentration - 0.5 * inlet adsorbate concentration)) * ((1 / 0.5) - 1))Breakthrough time.
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| k_yn | Yoon-Nelson rate constant | INPUT | Yoon-Nelson rate constant |
| C0 | Inlet adsorbate concentration | INPUT | Inlet adsorbate concentration |
| breakthrough_time | Breakthrough time | OUTPUT | Breakthrough time |
Calculation Steps
- Enter the yoon-nelson rate constant in 1/s.
- Enter the inlet adsorbate concentration in kg/m^3.
- Step 1: Compute breakthrough time.
- Read the breakthrough time (s) from the results.
Frequently Asked Questions
What does this calculator calculate?
The Activated Carbon Filter Breakthrough Time Predictor (Yoon-Nelson Model) calculator estimates Breakthrough time based on the input parameters you provide
Why is yoon-nelson rate constant important in this calculation?
yoon-nelson rate constant is directly proportional to breakthrough time. When you enter yoon-nelson rate constant in 1/s, the calculator uses it in the engineering formula to compute the output
How should I interpret the result breakthrough time?
The calculator outputs breakthrough time in s. 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: Yoon-Nelson rate constant (1/s), Inlet adsorbate concentration (kg/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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