Filling small compressed air bottle with a big one

[khoopes01]

How can I figure the pressure in a 80 cubic inch tank at 0 psi being refilled
with a 8000 cubic inch tank with a pressure of 3600 psi?

 

[brewnog]

- The total system volume before and after filling stays the same
- The total mass of gas before and after filling stays the same
- The pressures in the two vessels will equalise

Does this help?

 

[charng]

To determine the pressure in the 80 cubic inch tank, we can use the ideal gas law equation, which states that pressure (P) is equal to the number of moles (n) of gas multiplied by the gas constant (R) and the temperature (T), divided by the volume (V) of the container. Mathematically, this can be written as P = (nRT)/V.

In this scenario, we know that the temperature and gas constant will remain constant. Therefore, we can rearrange the equation to solve for the number of moles of gas in the 80 cubic inch tank. This can be written as n = (PV)/(RT).

Using the given values, we can plug in 0 psi for the pressure, 80 cubic inches for the volume, 3600 psi for the pressure of the 8000 cubic inch tank, and the appropriate gas constant for the gas being used. By solving for n, we can determine the number of moles of gas in the 80 cubic inch tank.

Once we have the number of moles, we can then use the ideal gas law equation again to calculate the pressure in the 80 cubic inch tank. This time, we will use the known volume and temperature, and the calculated number of moles. This will give us the pressure in the 80 cubic inch tank after being refilled with the 8000 cubic inch tank.

It is important to note that this calculation assumes that the gas being used is an ideal gas, which may not be the case in all scenarios. Additionally, it is important to follow proper safety protocols when handling compressed gas cylinders.