How may 1.5 Liter water capacity diving cylinders can I fill to 200 bar from a 50 liter water capacity storage cylinder filled to 200 bar,leaving 25 bar in the storage cylinder, using a booster pump?

To answer this question, we need to calculate how many 1.5 liter water capacity diving cylinders can be filled to 200 bar using the given parameters. Here's how you can do it:

1. Determine the available volume of the storage cylinder: The storage cylinder has a water capacity of 50 liters. However, we need to account for the remaining pressure of 25 bar. Since the ideal gas law states that pressure and volume are inversely proportional, we can assume the volume remaining in the cylinder is inversely proportional to the remaining pressure. Therefore, we can calculate the remaining volume as follows:

Remaining Volume = Available Volume x (Remaining Pressure / Initial Pressure)
Remaining Volume = 50 liters x (25 bar / 200 bar)
Remaining Volume = 6.25 liters

2. Calculate the number of 1.5 liter diving cylinders that can be filled: Divide the remaining volume of the storage cylinder by the capacity of each diving cylinder.

Number of Diving Cylinders = Remaining Volume / Capacity of Each Diving Cylinder
Number of Diving Cylinders = 6.25 liters / 1.5 liters
Number of Diving Cylinders ≈ 4.17

Since you cannot have a fraction of a cylinder, round down to the nearest whole number. Therefore, you can fill 4 1.5 liter diving cylinders from the given parameters.

Please note that these calculations assume no loss of gas during the filling process and that all cylinders are filled to their maximum capacity. It's also important to follow proper safety guidelines and consult a professional for accurate and precise results.