Calculations-of-the-Day
Even the manual air pump for the air weapons are spoiled!
Should we get a 5-litre or 11-litre scuba tank to charge our cylinders for our air weapons? We have a maximum of rental of one month before we must return the scuba tank. Each time we rent another tank, transport fees apply. The following calculations should aid us in making the decision of which size tank to rent.
LP-10 Cylinder Volume = 1.414 x 10-4 m3
Model 700 Alu Cylinder Volume = 2.619 x 10-4 m3
Using pV = nRT, where p is in Pa, V is in m3, R = 8.3145 and T = 298K.
For LP-10:
n = 1.141 mol air per cylinder
For Model 700 Alu:
n = 2.114 mol air per cylinder
For a 5 litre scuba tank (200bar):
n = 40.36 mol
For an 11 litre scuba tank (200bar):
n = 88.79 mol
Assuming we have to charge 4 LP-10 and 2 Model 700 cylinders in one session, a 5-litre tank wil allow us 4.6 sessions and a 11-litre tank will allow us 10.0 sessions. To charge 8 LP-10 and 2 Model 700 cylinders in one session, a 5-litre tank wil allow us 3.0 sessions and a 11-litre tank will allow us 6.6 sessions.
However, the above calculation for the number of sessions is an overestimate as each time we charge the cylinders, the pressure in the scuba tank decreases and there will come a point in which we would have to re-fill the scuba tank before it is emptied to obtain a desirable pressure to charge the gun.
Jimmy, please assist in the rest of the calculations. Thank you.
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