Litres per hour to Cubic kilometers per second conversion

How to convert litres per hour to cubic kilometers per second?

To convert litres per hour (L/h) to cubic kilometers per second (km³/s), you'll need to apply a series of unit conversions involving both volume and time.

1 litre (L) is equal to 0.001 cubic meters (m³), or 1 L = 0.001 m³. 1 cubic meter (m³) is equal to $10^{-9}$ cubic kilometers (km³), or 1 m³ = $10^{-9}$ km³.

Also, there are 3600 seconds (s) in one hour (h), so 1 hour = 3600 seconds.

Given: 1 L/h

Step-by-Step Conversion:

1. Convert litres to cubic meters: $1 \text{ L} = 0.001 \text{ m}³$ Therefore, $1 \text{ L/h} = 0.001 \text{ m}³/\text{h}$

2. Convert cubic meters per hour to cubic meters per second: $0.001 \text{ m}³/\text{h} = \frac{0.001 \text{ m}³}{3600 \text{ s}}$ $0.001 \text{ m}³/\text{h} = \approx 2.78 \times 10^{-7} \text{ m}³/\text{s}$

3. Convert cubic meters per second to cubic kilometers per second: $2.78 \times 10^{-7} \text{ m}³/\text{s} = 2.78 \times 10^{-7} \times 10^{-9} \text{ km}³/\text{s}$ $2.78 \times 10^{-7} \text{ m}³/\text{s} = 2.78 \times 10^{-16} \text{ km}³/\text{s}$

Therefore, $1 \text{ L/h} = 2.78 \times 10^{-16} \text{ km}³/\text{s}$

Real World Examples of Litres per Hour (L/h) in Context:

1. Household Water Usage:

   • The average flow rate of a faucet is around 6-15 L/min, which translates to 360-900 L/h if left running continuously. For intermittent use, such as washing hands, cooking, and cleaning, households typically use several hundred litres per hour.

2. Automobile Fuel Consumption:

   • For vehicles, fuel consumption rates are often given in litres per hour. For example, a small car might consume around 5-10 L/h while cruising on a highway, whereas larger, less efficient vehicles or those moving at high speeds might consume 15-20 L/h or more.

3. Agricultural Irrigation:

   • Agricultural drip irrigation systems often measure water delivery in terms of litres per hour. For instance, a drip emitter might deliver water at a rate of 1-4 L/h to each plant, depending on the plant's requirements.

4. Industrial Processes:

   • In various chemical and manufacturing industries, processes may involve the flow of liquids measured in litres per hour. For example, a cooling/ lubricant system for heavy machinery may circulate coolant at a rate of several hundred to a few thousand litres per hour.

These examples illustrate how L/h is a versatile and commonly used unit in everyday scenarios, from household utilities to complex industrial processes.