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Gallons (us)/second to Liters/second Converter (gal (US)/s to L/s)

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Live Conversion • ISO 80000-4:2019 Certified
1 Gallon (US)/second = 3.78541178 Liter/second
1 gal (US)/s = 3.785412 L/s • 1 L/s = 0.264172 gal (US)/s
Gallon (US)/second to Liter/second: One Gallon (US)/second is equal to 3.78541178 Liters/second.
Certified Authority Value
3.78541178
L/s
Exact: 1 L/s ≡ 0.2641720524 gal (US)/s
gal (US)/s
gal (US)/s
Swap to Liter/second to Gallon (US)/second
Swap to Liter/second to Gallon (US)/second
L/s
L/s 3.78541178
Quick Values:
Conversion Formula
To convert Gallon (US)/second to Liter/second, multiply by 3.78541178
gal (US)/s × 3.78541178 = L/s

Calculation: 1 gal (US)/s × 3.78541178 = 3.78541178 L/s

Common Gallon (US)/second to Liter/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Gallon (US)/second (gal (US)/s) and Liter/second (L/s).

Tap any row to calculate
Gallon (US)/second to Liter/second: Primary Direct Table (15 Steps)
Gallon (US)/second to Liter/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 gal (US)/s 0.00378541 L/s 3.785 × 10⁻³
0.01 gal (US)/s 0.0378541 L/s 3.785 × 10⁻²
0.1 gal (US)/s 0.378541 L/s 3.785 × 10⁻¹
0.5 gal (US)/s 1.892706 L/s 1.893 × 10⁰
1 gal (US)/s 3.785412 L/s 3.785 × 10⁰
2 gal (US)/s 7.570824 L/s 7.571 × 10⁰
5 gal (US)/s 18.927059 L/s 1.893 × 10¹
10 gal (US)/s 37.854118 L/s 3.785 × 10¹
20 gal (US)/s 75.708236 L/s 7.571 × 10¹
25 gal (US)/s 94.635295 L/s 9.464 × 10¹
50 gal (US)/s 189.270589 L/s 1.893 × 10²
100 gal (US)/s 378.541178 L/s 3.785 × 10²
250 gal (US)/s 946.352946 L/s 9.464 × 10²
500 gal (US)/s 1892.705892 L/s 1.893 × 10³
1000 gal (US)/s 3785.411784 L/s 3.785 × 10³
Liter/second to Gallon (US)/second: Reciprocal Summary
Liter/second to Gallon (US)/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 L/s 0.264172 gal (US)/s 2.642 × 10⁻¹
5 L/s 1.32086 gal (US)/s 1.321 × 10⁰
10 L/s 2.641721 gal (US)/s 2.642 × 10⁰
50 L/s 13.208603 gal (US)/s 1.321 × 10¹
100 L/s 26.417205 gal (US)/s 2.642 × 10¹
View Complete 15-Row Liter/second to Gallon (US)/second Table

Real-World Context & Everyday Benchmarks

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

Gallon (US)/second References:

  • Municipal fire department pumper truck deluge deck master monitor water stream (20 gps) 20 gal/s

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 Gallon (US)/second to Liter/second

Converting Gallon (US)/second (gal (US)/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 Gallon (US)/second equals 3.785412 Liter/second, while 1 L/s equals 0.264172 gal (US)/s.

Direct Factor1 gal (US)/s = 3.785412 L/s
Inverse Ratio1 L/s = 0.264172 gal (US)/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:

Vtarget=Vsource×(ksource→SIktarget→SI)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 (ksource):1 gal (US)/s = 0.00378541 cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 L/s = 0.001 cubic meter per second (m³/s)
Step-by-step substitution for Gallon (US)/second → Liter/second:V(L/s) = V(gal (US)/s) × ( 0.00378541 / 0.001 ) = V(gal (US)/s) × 3.785412
Mathematical FormulaValue in Liter/second = Value in Gallon (US)/second × 3.78541178Direct computational formula applied for standard conversion.
Worked Example

To convert 50 Gallon (US)/second (gal (US)/s) to Liter/second (L/s): multiply 50 by 3.785412 to get 189.270589 L/s. At an industrial engineering scale, 2500 gal (US)/s converts to 9463.52946 L/s.

Inverse check: 1 L/s = 0.264172 gal (US)/s.

Understanding Gallon (US)/second and Liter/second

Gallon (US)/second

gal (US)/s
Imperial / US

A Gallon (US)/second (gal (US)/s) is an imperial and US customary unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a municipal fire department pumper truck deluge deck master monitor water stream (20 gps) equals 20 gal/s.

Physical Setup

A physical magnitude of 1 gal (US)/s corresponds to 0.00378541 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 gal (US)/s = 0.00378541 m³/s

Liter/second

L/s
Standard Unit

A Liter/second (L/s) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a standard residential outdoor garden watering hose discharge rate equals 0.5 L/s, a municipal fire engine attack hose line water discharge delivery rate equals 15 L/s.

Physical Setup

A physical magnitude of 1 L/s corresponds to 0.001 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/s = 0.001 m³/s

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 ReferenceReference ValueConverted to Liter/second
Municipal fire department pumper truck deluge deck master monitor water stream (20 gps)20 gal/s75.708236 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 Fluid Continuity & Mass Flux

Volumetric to Mass Flow Continuity Bridge (kg/s • kg/h • lb/s • lb/h • t/h • g/s)

Convert volumetric flow rate (Q) directly into physical mass flow rate (ṁ) across process fluids using the continuity relation ṁ = ρ × Q, bridging volume flow [L³ T⁻¹] and mass flow [M T⁻¹] via density (ρ).

ṁ = ρ × Q
Vector: [m³/s] × [kg/m³] → [kg/s]
Live Calculated Bridge Equivalent:
1 gal (US)/s at Water (20°C / Standard Ambient) = 3.7786 kg/s
Equals 13602.953 kg/h • 8.3304 lb/s • 29989.38 lb/h
SI Mass Flow
3.7786
kg/s
Kilograms per Second
Industrial Process
13602.953
kg/h
Kilograms per Hour
US Mass Flow
8.3304
lb/s
Pounds per Second
Boiler / Turbine Rating
29989.38
lb/h
Pounds per Hour
Heavy Plant Header
13.603
t/h
Metric Tons per Hour
Chemical / Laboratory
3778.598
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 gal (US)/s × 0.00378541 = 0.00378541 m³/s
  2. 2. Apply Engineering Parameter (ρ):
    Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³
  3. 3. Execute Governing Physical Law in SI Units:
    ṁ = ρ × Q = (0.00378541 m³/s) × (998.2 kg/m³) = 3.778598 kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 3.778598 × 1 = 3.7786 kg/s (Kilograms per Second) • kg/h: 3.778598 × 3600 = 13602.953 kg/h (Kilograms per Hour) • lb/s: 3.778598 × 2.2046 = 8.3304 lb/s (Pounds per Second) • lb/h: 3.778598 × 7936.6414 = 29989.38 lb/h (Pounds per Hour) • t/h: 3.778598 × 3.6 = 13.603 t/h (Metric Tons per Hour) • g/s: 3.778598 × 1000 = 3778.598 g/s (Grams per Second)
Explore Full Density Converter →
Engineering Substance / Operating Standard Parameter Value (kg/m³) Reference State / Condition Typical Industrial & Engineering Application
Water (20°C / Standard Ambient) 998.2 998.2 kg/m³ HVAC hydronic & cooling water
Diesel Fuel (EN 590 / 20°C) 832 832.0 kg/m³ Generator & marine diesel consumption
Gasoline / Petrol (15°C) 740 740.0 kg/m³ Automotive fuel injection lines
Hydraulic Fluid (ISO VG 46) 870 870.0 kg/m³ Hydraulic power pack pumps
Air (Standard Ambient / NTP 20°C) 1.204 1.204 kg/m³ HVAC ductwork & compressor air
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Frequently Asked Questions

There are exactly 3.78541178 liters/second (L/s) in 1 gallon (us)/second (gal (US)/s). To calculate larger amounts manually, simply multiply your total number of gallons (us)/second by the conversion multiplier of 3.78541178.

The mathematical formula to convert gallons (us)/second to liters/second is: [value] * 3.78541178 = 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 gallons (us)/second, you must divide your starting value by 3.78541178. Our bidirectional tool automatically computes this inverse equation the moment you type into the liter/second input field.

1 Gallon (US)/second is larger than 1 Liter/second. Specifically, 1 Gallon (US)/second equals exactly 3.78541178 liters/second, making it 3.7854 times larger (a difference of 0.58 orders of magnitude). Therefore, quantities expressed in liters/second require a larger numerical value to represent the same physical amount.

A typical municipal fire department pumper truck deluge deck master monitor water stream (20 gps) measures 20 gal/s, which corresponds to 75.7082 Liter Per Second (Liter/second).

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