Quick Answer
Calculate First-Order Chlorine Residual Decay in Water Distribution Systems
Calculator
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Find Engineering Solutions →Result Interpretation
First-Order Chlorine Residual Decay in Water Distribution Systems calculator computes Residual Free Chlorine Concentration in mg/L using the defined engineering formula and the input values provided. Residual Free Chlorine Concentration is expressed in mg/L. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Initial Free Chlorine Concentration = 2
- First-Order Chlorine Decay Rate Coefficient = 0.05
- Contact Time = 0
Expected Result:
- Residual Free Chlorine Concentration = 2
Engineering Interpretation:
Under the given input conditions, the calculated result is: Residual Free Chlorine Concentration = 2 mg/L.
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
residual free chlorine concentration = initial free chlorine concentration * exp(-first-order chlorine decay rate coefficient * contact time)Formula family: formula_water_chlorine_decay_rate_estimator_first_order_kinetics
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| initial_chlorine_concentration | Initial Free Chlorine Concentration | INPUT | Initial Free Chlorine Concentration |
| chlorine_decay_rate_coefficient | First-Order Chlorine Decay Rate Coefficient | INPUT | First-Order Chlorine Decay Rate Coefficient |
| time_hours | Contact Time | INPUT | Contact Time |
| residual_chlorine_concentration | Residual Free Chlorine Concentration | OUTPUT | Residual Free Chlorine Concentration |
Calculation Steps
- Enter the initial free chlorine concentration in mg/L.
- Enter the first-order chlorine decay rate coefficient in 1/hour.
- Enter the contact time in hour.
- Step 1: Compute residual free chlorine concentration.
- Read the residual free chlorine concentration (mg/L) from the results.
Engineering Summary
Calculate First-Order Chlorine Residual Decay in Water Distribution Systems
Frequently Asked Questions
What does this calculator calculate?
The First-Order Chlorine Residual Decay in Water Distribution Systems calculator estimates Residual Free Chlorine Concentration based on the input parameters you provide
Why is initial free chlorine concentration important in this calculation?
initial free chlorine concentration is directly proportional to residual free chlorine concentration. When you enter initial free chlorine concentration in mg/L, the calculator uses it in the engineering formula to compute the output
How should I interpret the result residual free chlorine concentration?
The calculator outputs residual free chlorine concentration in mg/L. 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: Initial Free Chlorine Concentration (mg/L), First-Order Chlorine Decay Rate Coefficient (1/hour), Contact Time (hour). 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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