Kilolitres per second to Cubic inches per hour conversion

How to convert kilolitres per second to cubic inches per hour?

Certainly! Let's start with the conversion of 1 kilolitre per second (kL/s) to cubic inches per hour (in³/hr).

1 kilolitre (kL) is equal to 1,000 liters (L). We know that:

1 liter (L) = 1,000 cubic centimeters (cm³)
1 cubic inch (in³) = 16.387 cubic centimeters (cm³)

So, to convert kilolitres to cubic inches, we need to follow these steps:

1. Convert kilolitres to liters: $1 \, \text{kL} = 1,000 \, \text{L}$

2. Convert liters to cubic centimeters: $1,000 \, \text{L} = 1,000 \times 1,000 \, \text{cm}³ = 1,000,000 \, \text{cm}³$

3. Convert cubic centimeters to cubic inches: $1,000,000 \, \text{cm}³ \div 16.387 \, \text{cm}³/\text{in}³ \approx 61,023.7 \, \text{in}³$

Therefore, 1 kilolitre is approximately 61,023.7 cubic inches.

Now, since the flow rate is given in kilolitres per second and we need cubic inches per hour, we need to convert from seconds to hours:

1 hour = 3,600 seconds

So, if the flow rate is 1 kL/s: $1 \, \text{kL/s} \times 3,600 \, \text{s/hr} = 3,600 \, \text{kL/hr}$

Now, convert 3,600 kL to cubic inches:

$3,600 \, \text{kL/hr} \times 61,023.7 \, \text{in}³/\text{kL} \approx 219,685,320 \, \text{in}³/hr$

Therefore, 1 kilolitre per second is approximately 219,685,320 cubic inches per hour.

Real-World Examples for Other Quantities of Kilolitres Per Second

1. 0.1 kL/s (or 100 L/s): This could be the flow rate of a large industrial water pump used for irrigation or industrial cooling systems. Industrial cooling systems often require a significant volume of water to maintain the desired temperatures.

2. 0.5 kL/s (or 500 L/s): This is typical in water treatment plants where large volumes of water are processed for potable use. It could be the capacity of small municipal water supply systems.

3. 2 kL/s (or 2,000 L/s): This could be the discharge rate of a large hydroelectric power station's turbines. Such high flow rates are typical in the power industry, where massive amounts of water pass through the turbines to generate electricity.

4. 10 kL/s (or 10,000 L/s): This is representative of major river discharge rates. For example, certain sections of large rivers like the Amazon have flow rates in this range, especially during flood stages.

These examples illustrate the range of applications for kilolitres per second, from industrial processes to natural water flow systems.