Cubic meters per hour to Kilolitres per minute conversion

How to convert cubic meters per hour to kilolitres per minute?

To convert cubic meters per hour (m³/h) to kiloliters per minute (kL/min), you'll first need to understand the relationship between the units:

1 cubic meter (m³) = 1 kiloliter (kL)

Next, we need to convert from hours to minutes. There are 60 minutes in an hour.

So, the conversion steps are as follows:

1. Identify the flow rate in m³/h.
2. Convert this flow rate to kL/h (since 1 m³ = 1 kL).
3. Convert kL/h to kL/min by dividing by 60 (since there are 60 minutes in an hour).

Let's go through the calculation for 1 cubic meter per hour:

1. Initial flow rate: 1 m³/h
2. Convert m³/h to kL/h: $1 \, \text{m}^3/\text{h} = 1 \, \text{kL}/\text{h}$
3. Convert kL/h to kL/min: $1 \, \text{kL}/\text{h} \div 60 = \frac{1}{60} \, \text{kL}/\text{min}$

So, 1 cubic meter per hour is $\frac{1}{60}$ kiloliters per minute, which is approximately 0.0167 kL/min.

Real World Examples

Example 1: Residential Water Supply

Suppose a household uses 2 cubic meters of water per hour for various activities such as bathing, washing dishes, and laundry.

Conversion:

1. Initial flow rate: 2 m³/h
2. Convert m³/h to kL/h: $2 \, \text{m}^3/\text{h} = 2 \, \text{kL}/\text{h}$
3. Convert kL/h to kL/min: $2 \, \text{kL}/\text{h} \div 60 = \frac{2}{60} \, \text{kL}/\text{min} = 0.0333 \, \text{kL}/\text{min}$

Example 2: Industrial Cooling System

An industrial cooling system might require 100 cubic meters of cooling water per hour.

Conversion:

1. Initial flow rate: 100 m³/h
2. Convert m³/h to kL/h: $100 \, \text{m}^3/\text{h} = 100 \, \text{kL}/\text{h}$
3. Convert kL/h to kL/min: $100 \, \text{kL}/\text{h} \div 60 = \frac{100}{60} \, \text{kL}/\text{min} = 1.6667 \, \text{kL}/\text{min}$

Example 3: Urban Water Supply System

A small urban water supply system might deliver 500 cubic meters of water per hour.

Conversion:

1. Initial flow rate: 500 m³/h
2. Convert m³/h to kL/h: $500 \, \text{m}^3/\text{h} = 500 \, \text{kL}/\text{h}$
3. Convert kL/h to kL/min: $500 \, \text{kL}/\text{h} \div 60 = \frac{500}{60} \, \text{kL}/\text{min} = 8.3333 \, \text{kL}/\text{min}$

Knowing how to convert between these units helps in planning and managing water resources in various applications effectively.