How do you convert mass flow (lb/hr) to volumetric flow (GPM) for water?

To convert mass flow in pounds per hour (lb/hr) to volumetric flow in gallons per minute (GPM) for water, divide by 499.78 for precision water at 20°C (density 998.2 kg/m³ or 8.33 lb/gal). Exact equation: GPM = (lb/hr) / (density in lb/gal × 60). For example, 1,000 lb/hr of water equals approximately 2.001 GPM.

How do you convert compressed air mass flow (lb/hr) to SCFM?

To convert air mass flow (lb/hr) to Standard Cubic Feet per Minute (SCFM) at standard ambient conditions (20°C, 1 atm, density 0.07516 lb/ft³), divide the mass flow rate by (0.07516 × 60) = 4.51. Exact equation: SCFM = (lb/hr) / 4.51. For example, 100 lb/hr of compressed air equals approximately 22.17 SCFM.

How do you convert natural gas mass flow (kg/hr) to volumetric flow (m³/hr)?

To convert natural gas mass flow in kg/hr to volumetric flow in cubic meters per hour (m³/hr) at STP (0°C, 1 atm, density 0.717 kg/m³), divide the mass flow by 0.717: m³/hr = (kg/hr) / 0.717. For example, 100 kg/hr of methane natural gas equals approximately 139.47 m³/hr.

Cubic foot/second to Liter/second (ft³/s to L/s) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic foot/second = 28.31684659 Liter/second

1 ft³/s = 28.316847 L/s • 1 L/s = 0.0353147 ft³/s

Decimals:

Certified Authority Value

28.31684659

L/s

From / Input

ft³/s

Swap to Liter/second to Cubic foot/second

To / Result

L/s

Quick Values:

1 ft³/s 5 ft³/s 10 ft³/s 25 ft³/s 50 ft³/s 100 ft³/s 250 ft³/s 500 ft³/s 1,000 ft³/s

Conversion Formula

To convert Cubic foot/second to Liter/second, multiply by 28.31684659

ft³/s × 28.31684659 = L/s

Calculation: 1 ft³/s × 28.31684659 = 28.31684659 L/s

Common Cubic foot/second to Liter/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Cubic foot/second (ft³/s) and Liter/second (L/s).

Tap any row to calculate

Cubic foot/second to Liter/second: Primary Direct Table (15 Steps)

Rule: 1 Cubic foot/second is equal to 28.316847 L/s (Liter/second)

Cubic foot/second to Liter/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ft³/s is equal to 0.0283168 L/s (Liter/second)	2.832 × 10⁻²
0.01 ft³/s is equal to 0.283168 L/s (Liter/second)	2.832 × 10⁻¹
0.1 ft³/s is equal to 2.831685 L/s (Liter/second)	2.832 × 10⁰
0.5 ft³/s is equal to 14.158423 L/s (Liter/second)	1.416 × 10¹
1 ft³/s is equal to 28.316847 L/s (Liter/second)	2.832 × 10¹
2 ft³/s is equal to 56.633693 L/s (Liter/second)	5.663 × 10¹
5 ft³/s is equal to 141.584233 L/s (Liter/second)	1.416 × 10²
10 ft³/s is equal to 283.168466 L/s (Liter/second)	2.832 × 10²
20 ft³/s is equal to 566.336932 L/s (Liter/second)	5.663 × 10²
25 ft³/s is equal to 707.921165 L/s (Liter/second)	7.079 × 10²
50 ft³/s is equal to 1415.84233 L/s (Liter/second)	1.416 × 10³
100 ft³/s is equal to 2831.684659 L/s (Liter/second)	2.832 × 10³
250 ft³/s is equal to 7079.211648 L/s (Liter/second)	7.079 × 10³
500 ft³/s is equal to 14158.423296 L/s (Liter/second)	1.416 × 10⁴
1000 ft³/s is equal to 28316.846592 L/s (Liter/second)	2.832 × 10⁴

Liter/second to Cubic foot/second: Reciprocal Summary

Rule: 1 Liter/second is equal to 0.0353147 ft³/s (Cubic foot/second)

Liter/second to Cubic foot/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 L/s is equal to 0.0353147 ft³/s (Cubic foot/second)	3.531 × 10⁻²
5 L/s is equal to 0.176573 ft³/s (Cubic foot/second)	1.766 × 10⁻¹
10 L/s is equal to 0.353147 ft³/s (Cubic foot/second)	3.531 × 10⁻¹
50 L/s is equal to 1.765733 ft³/s (Cubic foot/second)	1.766 × 10⁰
100 L/s is equal to 3.531467 ft³/s (Cubic foot/second)	3.531 × 10⁰

View Complete 15-Row Liter/second to Cubic foot/second Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Cubic foot/second (ft³/s) and Liter/second (L/s):

Cubic foot/second References:

Standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm) 1 cfs
Small recreational trout fishing mountain river streamflow discharge 100 cfs
Colorado River natural carved streamflow carving through the Grand Canyon 14000 cfs

Liter/second References:

Standard residential outdoor garden watering hose discharge rate 0.5 L/s
Municipal fire engine attack hose line water discharge delivery rate 15 L/s

Tap any benchmark above to automatically calculate its exact equivalent in Liter/second.

ISQ Dimension: [L³ T⁻¹] Coherent SI Unit: cubic meter per second (m³/s) Fluid Dynamics & Rheology

How to Convert Cubic foot/second to Liter/second

Converting Cubic foot/second (ft³/s) to Liter/second (L/s) is a core calculation in Volumetric Flow Rate, which quantifies the volume of fluid passing through a designated conduit cross-section per unit of time. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Cubic foot/second equals 28.316847 Liter/second, while 1 L/s equals 0.0353147 ft³/s.

Direct Factor1 ft³/s = 28.316847 L/s

Inverse Ratio1 L/s = 0.0353147 ft³/s

Conversion ScaleMetric SI to British Imperial / US Customary Bridge

First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (cubic meter per second (m³/s)) without arbitrary rounding:

V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)

Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)

1. Source SI Bridge (k_source):1 ft³/s = 0.0283168 cubic meter per second (m³/s)

2. Target SI Bridge (k_target):1 L/s = 0.001 cubic meter per second (m³/s)

Step-by-step substitution for Cubic foot/second → Liter/second:V(L/s) = V(ft³/s) × ( 0.0283168 / 0.001 ) = V(ft³/s) × 28.316847

Mathematical FormulaValue in Liter/second = Value in Cubic foot/second × 28.31684659Direct computational formula applied for standard conversion.

Worked Example

To convert 12 Cubic foot/second (ft³/s) to Liter/second (L/s): multiply 12 by 28.316847 to get 339.802159 L/s. At an industrial engineering scale, 240 ft³/s converts to 6796.043182 L/s.

Inverse check: 1 L/s = 0.0353147 ft³/s.

Understanding Cubic foot/second and Liter/second

Domain Metrology & Engineering Applications

Governing Law & Equation

Hydrodynamic Continuity Equation (Q = A · v̄)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using electromagnetic inductive flowmeters, ultrasonic transit-time meters, turbine flowmeters, and differential orifice plates.

Primary Industry Sectors

Applied across municipal water supply distribution, chemical process loops, oil & gas pipeline custody transfer, and HVAC hydronic balancing under international metrology standard ISO 80000-4:2019, ASME MFC-3M.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering Reference	Reference Value	Converted to Liter/second
Standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm)	`1 cfs`	`28.316847 L/s`
Small recreational trout fishing mountain river streamflow discharge	`100 cfs`	`2831.684659 L/s`
Colorado River natural carved streamflow carving through the Grand Canyon	`14000 cfs`	`396435.852288 L/s`

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, ASME MFC-3M and the BIPM SI Brochure (9th Edition). Governed by Hydrodynamic Continuity Equation (Q = A · v̄) under ISO 80000 dimensional vector [L³ T⁻¹].

Multi-Variable Engineering Bridge Precision Fluid Continuity

Volumetric Flow & Fluid Continuity Bridge (GPM • CFM • m³/h • L/min • L/s • ft³/h)

Directly convert mass flow rate (ṁ) into volumetric flow (Q) across process fluids using the thermodynamic continuity equation ṁ = ρ × Q, bridging mass flow [M T⁻¹] and volumetric flow [L³ T⁻¹] via fluid density (ρ).

Input Mass Flow Rate (ṁ): ft³/s

Select Industrial Fluid: 998.2 kg/m³

Coupling: Q = ṁ / ρ

Forward Reverse

Live Calculated Bridge Equivalent:

1 ft³/s at Water (20°C / Standard Ambient) = 0.4496 GPM

Equals 0.06011 CFM • 0.1021 m³/h • 1.7021 L/min

US Pump Standard

0.4496

GPM

US Gallons per Minute

Air / Gas Flow

0.06011

CFM

Cubic Feet per Minute

Metric Standard

0.1021

m³/h

Cubic Meters per Hour

Hydraulics & Lab

1.7021

L/min

Liters per Minute

High Volume

0.02837

L/s

Liters per Second

Burners & Fuel

3.61

ft³/h

Cubic Feet per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (kg/s):
ṁ = 1 ft³/s × 0.02831685 = 0.02831685 kg/s
2. Apply Engineering Parameter (ρ):
Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³
3. Execute Governing Physical Law in SI Units:
Q = ṁ / ρ = (0.02831685) ÷ (998.2) = 2.836791 × 10⁻⁵ m³/s
4. Convert to Standard Engineering Units:
• GPM: 2.836791 × 10⁻⁵ × 15850.3231 = 0.4496 GPM (US Gallons per Minute) • CFM: 2.836791 × 10⁻⁵ × 2118.88 = 0.06011 CFM (Cubic Feet per Minute) • m³/h: 2.836791 × 10⁻⁵ × 3600 = 0.1021 m³/h (Cubic Meters per Hour) • L/min: 2.836791 × 10⁻⁵ × 60000 = 1.7021 L/min (Liters per Minute) • L/s: 2.836791 × 10⁻⁵ × 1000 = 0.02837 L/s (Liters per Second) • ft³/h: 2.836791 × 10⁻⁵ × 127132.8002 = 3.61 ft³/h (Cubic Feet per Hour)

Explore Full Density Converter →

Engineering Substance / Operating Standard	Parameter Value (kg/m³)	Reference State / Condition	Typical Industrial & Engineering Application
Water (20°C / Standard Ambient)	`998.2`	20°C (68°F), 1 atm	Hydronic HVAC & cooling water (NIST)
Water (4°C / Maximum Density)	`1000`	4°C (39.2°F), 1 atm	Pure metrology reference standard (SG = 1.0)
Water (100°C / Saturated Liquid)	`958.4`	100°C (212°F), 1 atm	Boiler condensate returns & district hot water
Saturated Steam (100°C, 1 atm)	`0.5977`	100°C, 1.01325 bar	Boiler steam piping & relief headers (IAPWS-97)
Air (Standard Ambient / NTP 20°C)	`1.204`	20°C (68°F), 101.325 kPa (ISO 5011)	Compressor SCFM rating, blower sizing & HVAC duct air
Air at STP (0°C, 1 atm)	`1.292`	0°C (32°F), 101.325 kPa (IUPAC)	Standard European gas metering & chemical plant feeds
Diesel Fuel (EN 590 / No. 2-D, 20°C)	`832`	20°C (68°F), ASTM D975 / EN 590	Engine fuel telemetry, BSFC dyno & generator consumption
Gasoline / Petrol (ASTM D4814, 15°C)	`740`	15°C (59°F), ASTM D4814	Automotive port & direct fuel injector calibrations
Natural Gas / Methane (STP: 0°C, 1 atm)	`0.717`	0°C, 1 atm (Pure CH₄ approximation)	Gas turbine firing rate & burner pipeline supply
Engine Lubricating Oil (SAE 30, 20°C)	`885`	20°C, typical kinematic grade 100 cSt	Engine lube circuits, turbo feed lines & cooling loops
Hydraulic Oil (ISO VG 46, 20°C)	`870`	20°C, mineral hydraulic fluid	Hydraulic power packs, cylinder pump flows & servo valves

Frequently Asked Questions

There are exactly 28.31684659 liters/second (L/s) in 1 cubic foot/second (ft³/s). To calculate larger amounts manually, simply multiply your total number of cubic feet/second by the conversion multiplier of 28.31684659.

The mathematical formula to convert cubic feet/second to liters/second is: [value] * 28.31684659 = liters/second. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from liters/second back to cubic feet/second, you must divide your starting value by 28.31684659. Our bidirectional tool automatically computes this inverse equation the moment you type into the liter/second input field.

1 Cubic foot/second is larger than 1 Liter/second. Specifically, 1 Cubic foot/second equals exactly 28.31684659 liters/second, making it 28.3168 times larger (a difference of 1.45 orders of magnitude). Therefore, quantities expressed in liters/second require a larger numerical value to represent the same physical amount.

A typical standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm) measures 1 cfs, which corresponds to 28.3168 Liter Per Second (Liter/second).

Under ISO 80000 standard flow metrology, the exact conversion is 1 ft³/s = 28.3168 L/s.

The precise volumetric flow rate equation is V(L/s) = V(ft³/s) × 28.3168.

To calculate the inverse conversion, use the equation V(ft³/s) = V(L/s) × 0.0353147.

In hydraulic networks, large-scale conduit flow is analyzed in ft³/s, while exact laboratory-scale mass balances monitor output strictly in L/s.

Related Cubic foot/second and Liter/second Conversions

Convert Cubic foot/second to Other Units

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Convert Other Units to Liter/second

Cubic meter/second to Liter/second Liter/minute to Liter/second Gallon (US)/minute to Liter/second Cubic foot/minute to Liter/second

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