Centilitres per second to Kilolitres per hour conversion

How to convert centilitres per second to kilolitres per hour?

To convert from centilitres per second (cL/s) to kilolitres per hour (kL/h), we need to understand the relationship between the different units of measurement.

1 Centilitre (cL) is equal to 0.00001 Kilolitres (kL) because: $1 \text{ cL} = 0.01 \text{ L}$ $1 \text{ kL} = 1000 \text{ L}$ $\text{Thus, } 1 \text{ cL} = 0.01 \text{ L} = \frac{0.01}{1000} = 0.00001 \text{ kL}$

We also know that 1 hour is equal to 3600 seconds. Therefore, to convert a flow rate from cL/s to kL/h, we need to account for both the unit conversion and the time conversion.

Let's do the conversion for 1 cL/s step-by-step.

1. Multiply the flow rate in cL/s by 3600 to convert from seconds to hours: $1 \text{ cL/s} \times 3600 \text{ s/h} = 3600 \text{ cL/h}$

2. Convert the result from cL/h to kL/h by multiplying by 0.00001 (since 1 cL = 0.00001 kL): $3600 \text{ cL/h} \times 0.00001 \text{ kL/cL} = 0.036 \text{ kL/h}$

So, 1 cL/s is equal to 0.036 kL/h.

Real-World Examples

1. Household Tap: A small tap might flow at 5 cL/s. To convert this to kL/h: $5 \text{ cL/s} \times 3600 \text{ s/h} = 18000 \text{ cL/h}$ $18000 \text{ cL/h} \times 0.00001 \text{ kL/cL} = 0.18 \text{ kL/h}$

2. Garden Hose: A typical garden hose might flow at approximately 25 cL/s. To convert this to kL/h: $25 \text{ cL/s} \times 3600 \text{ s/h} = 90000 \text{ cL/h}$ $90000 \text{ cL/h} \times 0.00001 \text{ kL/cL} = 0.9 \text{ kL/h}$

3. Moderate River Flow: A moderate river might flow at a rate of 10000 cL/s. To convert this to kL/h: $10000 \text{ cL/s} \times 3600 \text{ s/h} = 36000000 \text{ cL/h}$ $36000000 \text{ cL/h} \times 0.00001 \text{ kL/cL} = 360 \text{ kL/h}$

These examples illustrate how various flow rates in centilitres per second can be converted to kilolitres per hour to provide a better understanding in a more commonly used unit such as kilolitres.