Question

Oxygen for hospital patients is kept in special tanks, where the oxygen has a pressure of 75.0 atm and a temperature of 280. K. The tanks are stored in a separate room, and the oxygen is pumped to the patient

Answer 1

Okay, this is just the general gas law equation: PV/T = P'V'/T' The original pressure is 66.3 atm, the original temperature is 284 K, and the original volume is 1 m3. If we solve for V' we get:

PV/T = P'V'/T' or V' = PVT'/P'T plugging in the numbers:

V' = (66.3)(1m3)(297)/(1)(284) =69.3 m3

.....I'm assuming they want the answer in cubic meters. If they're asking you for the volume in liters then it's 1000 times our cubic meter answer because 1 m3 = 1000 liters. So the above answer must be multiplied by 1000. That comes out to be 69,335 liters. Bear in mind that 66.3 atmospheres is an enormous pressure. To give you an idea of how much pressure that is, at normal air pressure there's about 15 pounds of pressure on every square inch of your body. If you were subjected to a pressure of 66.3 atmospheres every square inch of your body would have a pressure on it of 994 lbs. That's almost a half of a ton on every square inch of your body. It would definitely be uncomfortable.