# Cylinder of compressed oxygen

1. Jan 17, 2008

1. The problem statement, all variables and given/known data

A cylinder of compressed Oxygen is carried on a spacecraft headed for Mars. The compressed gas cylinder has a volume of 10,000 L and is filled to a pressure of 200 atm at 273 K. The maximum pressure the cylinder can hold is 1000 atm.
The molar mass of Oxygen is 32 g/mol.
Boltzmann's constant = 1.38×10-23 J/K
1 L = 1000 cm3 = 0.001 m3
R = 8.31 J/mol K

(a) Assuming that Oxygen is an ideal gas, what is the maximum temperature in Kelvin that the tanks can withstand before bursting?

Temp = 1365K (no prob here)

(b) What is the rms velocity of the oxygen molecules in the cylinder at it's maximum temperature?

v = 1031.223 m/s (this is no prob also)

(c) The contents of the cylinder is then entirely transfered to a partially filled holding tank of volume 10,000 L originally at presure 2 atm and 300 K. What is the new pressure in the holding tank at 300 K?
P = atm

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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2. Jan 17, 2008

### mgb_phys

PV = nRT where n is the number of moles
Remember if you don't lose any gas this is conserved.