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Liters/hour to Cubic Meters/second Converter (L/h to m³/s)

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Live Conversion • ISO 80000-4:2019 Certified
1 Liter/hour = 2.77777778 × 10⁻⁷ Cubic meter/second
1 L/h = 2.777778 × 10⁻⁷ m³/s • 1 m³/s = 3,600,000 L/h
Liter/hour to Cubic meter/second: One Liter/hour is equal to 2.77777778 × 10⁻⁷ Cubic Meters/second.
Certified Authority Value
0.00000028
m³/s
Exact: 1 m³/s ≡ 3600000 L/h
L/h
L/h
m³/s
m³/s 2.77777778 × 10⁻⁷
Quick Values:
Conversion Formula
To convert Liter/hour to Cubic meter/second, multiply by 2.77777778 × 10⁻⁷
L/h × 2.77777778 × 10⁻⁷ = m³/s

Calculation: 1 L/h × 2.77777778 × 10⁻⁷ = 2.77777778 × 10⁻⁷ m³/s

Common Liter/hour to Cubic meter/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Liter/hour (L/h) and Cubic meter/second (m³/s).

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Liter/hour to Cubic meter/second: Primary Direct Table (15 Steps)
Liter/hour to Cubic meter/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 L/h 2.777778 × 10⁻¹⁰ m³/s 2.778 × 10⁻¹⁰
0.01 L/h 2.777778 × 10⁻⁹ m³/s 2.778 × 10⁻⁹
0.1 L/h 2.777778 × 10⁻⁸ m³/s 2.778 × 10⁻⁸
0.5 L/h 1.388889 × 10⁻⁷ m³/s 1.389 × 10⁻⁷
1 L/h 2.777778 × 10⁻⁷ m³/s 2.778 × 10⁻⁷
2 L/h 5.555556 × 10⁻⁷ m³/s 5.556 × 10⁻⁷
5 L/h 1.388889 × 10⁻⁶ m³/s 1.389 × 10⁻⁶
10 L/h 2.777778 × 10⁻⁶ m³/s 2.778 × 10⁻⁶
20 L/h 5.555556 × 10⁻⁶ m³/s 5.556 × 10⁻⁶
25 L/h 6.944444 × 10⁻⁶ m³/s 6.944 × 10⁻⁶
50 L/h 1.388889 × 10⁻⁵ m³/s 1.389 × 10⁻⁵
100 L/h 2.777778 × 10⁻⁵ m³/s 2.778 × 10⁻⁵
250 L/h 6.944444 × 10⁻⁵ m³/s 6.944 × 10⁻⁵
500 L/h 0.000138889 m³/s 1.389 × 10⁻⁴
1000 L/h 0.000277778 m³/s 2.778 × 10⁻⁴
Cubic meter/second to Liter/hour: Reciprocal Summary
Cubic meter/second to Liter/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 m³/s 3600000 L/h 3.6 × 10⁶
5 m³/s 1.8 × 10⁷ L/h 1.8 × 10⁷
10 m³/s 3.6 × 10⁷ L/h 3.6 × 10⁷
50 m³/s 1.8 × 10⁸ L/h 1.8 × 10⁸
100 m³/s 3.6 × 10⁸ L/h 3.6 × 10⁸

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 Liter/hour (L/h) and Cubic meter/second (m³/s):

Liter/hour References:

  • Agricultural drip irrigation emitter delivery rate for vineyard grapevines 4 L/h
  • Residential whole-home evaporative central furnace humidifier water feed 3 L/h

Cubic meter/second References:

  • Niagara Falls combined average tourist daytime river discharge flow rate 2400 m³/s
  • Amazon River mouth discharge into Atlantic Ocean (world largest river) 209000 m³/s
  • Municipal regional wastewater treatment plant peak sewage inflow rate 1 m³/s
ISQ Dimension: [L³ T⁻¹] Coherent SI Unit: cubic meter per second (m³/s) Fluid Dynamics & Rheology

How to Convert Liter/hour to Cubic meter/second

Converting Liter/hour (L/h) to Cubic meter/second (m³/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. Because Cubic meter/second is a broader physical scale than Liter/hour, converting from L/h to m³/s condenses the numerical figure. It takes 3600000 Liter/hour to equal a single Cubic meter/second (1 L/h = 2.777778 × 10⁻⁷ m³/s). To convert any quantity, multiply by 2.777778 × 10⁻⁷ (or divide by 3600000).

Direct Factor1 L/h = 2.777778 × 10⁻⁷ m³/s
Inverse Ratio1 m³/s = 3600000 L/h
Conversion ScaleDirect Proportional Magnitude Compression
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 L/h = 2.777778 × 10⁻⁷ cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 m³/s = 1 cubic meter per second (m³/s)
Step-by-step substitution for Liter/hour → Cubic meter/second:V(m³/s) = V(L/h) × ( 2.777778 × 10⁻⁷ / 1 ) = V(L/h) × 2.777778 × 10⁻⁷
Mathematical FormulaValue in Cubic meter/second = Value in Liter/hour × 2.77777778 × 10⁻⁷Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 L/h, applying the conversion factor yields exactly 2.222222 × 10⁻⁶ m³/s. At larger operational scale, 100 Liter/hour corresponds to 2.777778 × 10⁻⁵ m³/s.

Inverse check: 1 m³/s = 3600000 L/h.

Understanding Liter/hour and Cubic meter/second

Liter/hour

L/h
Standard Unit

A Liter/hour (L/h) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a agricultural drip irrigation emitter delivery rate for vineyard grapevines equals 4 L/h, a residential whole-home evaporative central furnace humidifier water feed equals 3 L/h.

Physical Setup

A physical magnitude of 1 L/h corresponds to 2.777778 × 10⁻⁷ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/h = 2.777778 × 10⁻⁷ m³/s

Cubic meter/second

m³/s
SI Base Standard

A Cubic meter/second (m³/s) is the official base standard unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a niagara Falls combined average tourist daytime river discharge flow rate equals 2400 m³/s, a amazon River mouth discharge into Atlantic Ocean (world largest river) equals 209000 m³/s, a municipal regional wastewater treatment plant peak sewage inflow rate equals 1 m³/s.

Physical Setup

A flow rate of 1 m³/s represents 1 Cubic meter/second of fluid volume flowing through a pipe or channel every elapsed second.

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

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 Cubic meter/second
Agricultural drip irrigation emitter delivery rate for vineyard grapevines4 L/h1.111111 × 10⁻⁶ m³/s
Residential whole-home evaporative central furnace humidifier water feed3 L/h8.333333 × 10⁻⁷ m³/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 L/h at Water (20°C / Standard Ambient) = 0.0002773 kg/s
Equals 0.9982 kg/h • 0.0006113 lb/s • 2.2 lb/h
SI Mass Flow
0.0002773
kg/s
Kilograms per Second
Industrial Process
0.9982
kg/h
Kilograms per Hour
US Mass Flow
0.0006113
lb/s
Pounds per Second
Boiler / Turbine Rating
2.2
lb/h
Pounds per Hour
Heavy Plant Header
0.0009982
t/h
Metric Tons per Hour
Chemical / Laboratory
0.2773
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 L/h × 2.77777778 × 10⁻⁷ = 2.77777778 × 10⁻⁷ 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 = (2.77777778 × 10⁻⁷ m³/s) × (998.2 kg/m³) = 0.00027728 kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 0.00027728 × 1 = 0.0002773 kg/s (Kilograms per Second) • kg/h: 0.00027728 × 3600 = 0.9982 kg/h (Kilograms per Hour) • lb/s: 0.00027728 × 2.2046 = 0.0006113 lb/s (Pounds per Second) • lb/h: 0.00027728 × 7936.6414 = 2.2 lb/h (Pounds per Hour) • t/h: 0.00027728 × 3.6 = 0.0009982 t/h (Metric Tons per Hour) • g/s: 0.00027728 × 1000 = 0.2773 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 2.77777778 × 10⁻⁷ cubic meters/second (m³/s) in 1 liter/hour (L/h). To calculate larger amounts manually, simply multiply your total number of liters/hour by the conversion multiplier of 2.77777778 × 10⁻⁷.

The mathematical formula to convert liters/hour to cubic meters/second is: [value] * 2.77777778 × 10⁻⁷ = cubic meters/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 cubic meters/second back to liters/hour, you must divide your starting value by 2.77777778 × 10⁻⁷. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic meter/second input field.

1 Cubic meter/second is larger than 1 Liter/hour. Specifically, 1 Liter/hour equals 2.77777778 × 10⁻⁷ cubic meters/second, meaning 1 Cubic meter/second is 3600000 times larger than 1 Liter/hour (a difference of 6.56 orders of magnitude). Expressing measurements in liters/hour requires a larger numerical value to represent the equivalent physical magnitude.

A typical agricultural drip irrigation emitter delivery rate for vineyard grapevines measures 4 L/h, which corresponds to 1.1111 × 10⁻⁶ Cubic Meter Per Second (Cubic meter/second).

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