Teaspoons per second to Litres per hour conversion

How to convert teaspoons per second to litres per hour?

Certainly! To convert 1 Teaspoon per second (tsp/s) to Liters per hour (L/hr), we need to use the following conversion factors:

1. There are 4.92892 milliliters (mL) in 1 teaspoon (tsp).
2. There are 1000 milliliters (mL) in 1 liter (L).
3. There are 3600 seconds in 1 hour (s/hr).

First, let's convert 1 tsp/s to milliliters per second (mL/s):

1 tsp/s = 4.92892 mL/s

Next, we convert milliliters per second to liters per second:

4.92892 mL/s ÷ 1000 (mL/L) = 0.00492892 L/s

Finally, we convert liters per second to liters per hour:

0.00492892 L/s × 3600 s/hr = 17.744112 L/hr

So, 1 Teaspoon per second is approximately equal to 17.744112 Liters per hour.

Real-World Examples:

1. Half a Teaspoon per Second (0.5 tsp/s):

   • $0.5 \text{ tsp/s} = 0.5 \times 17.744112 \text{ L/hr} = 8.872056 \text{ L/hr}$
   • This could be used to describe the flow rate of a small irrigation drip system for plants.

2. 2 Teaspoons per Second (2 tsp/s):

   • $2 \text{ tsp/s} = 2 \times 17.744112 \text{ L/hr} = 35.488224 \text{ L/hr}$
   • This might describe the water delivery rate for a small garden fountain or water feature.

3. 10 Teaspoons per Second (10 tsp/s):

   • $10 \text{ tsp/s} = 10 \times 17.744112 \text{ L/hr} = 177.44112 \text{ L/hr}$
   • This flow rate could be used for a small water pump used to fill a pond or water tank.

4. 0.1 Teaspoons per Second (0.1 tsp/s):

   • $0.1 \text{ tsp/s} = 0.1 \times 17.744112 \text{ L/hr} = 1.7744112 \text{ L/hr}$
   • This might describe the flow rate of a very slow-dripping faucet or a precision chemical dosing system.

Explanation With Math:

Here's the general formula:

$\text{L/hr} = \left( \frac{\text{tsp/s} \times 4.92892 \text{ mL}}{\text{tsp}} \right) \times \frac{1 \text{ L}}{1000 \text{ mL}} \times 3600 \text{ s/hr}$

Plugging in 1 tsp/s:

$\text{L/hr} = \left( \frac{1 \times 4.92892}{1} \right) \times \frac{1}{1000} \times 3600 = 17.744112 \text{ L/hr}$

Then, for other quantities, you just multiply the result by the number of teaspoons per second.

I hope this helps clarify the concept! Let me know if you have any further questions.