An oxygen tank of volume V is stored in a medical laboratory. Initially the tank is full of compressed oxygen at pressure (p_{0}) . Lab regulations require a refill when the pressure in the tank drops to (p_{2}) so as to avoid contaimination by impure gas.

Suppose that the daily consumption of oxygen out of the tank is a volume (V_{0}) at the standard pressure (p_{0}) and that the temperature T of the laboratory remains constant throughout all processes. Treat the oxygen as an ideal gas and find how many days can this tank of oxygen be used before the first refill becomes necessary. [Hint: Keep track of the mass of oxygen using the equation of state for an ideal gas]


 

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