Oxygen Cylinder

Oxygen Cylinder
20 cm diameter cylinder 40 cm long contains 44 g of oxygen gas at 50°C. What is the pressure?

A 20 cm diameter cylinder that is 40 cm long contains 44 g of oxygen gas at 50°C.
What is the reading of a pressure gauge attached to the tank?

You would have to use the ideal gas law pv=nRT.
Start with known values:
R=8.31 J / mol*K (constant)
T= 50 C or 323K
r = 10 cm
h = 40 cm
m(O2) = 44g
M(O2) = 32 g/mol

Then find unknown values:
v=pi*r^2*h
=3.1415*10cm ^ 2*40cm
v = 13 000 cm3 or 13L

n(O2)= m(O2)/M(O2)
=44g / 32 g/mol
n(O2) = 1.4 mol

Then substitute and solve.
pv=nRT
p=(nRT)/v
=(1.4 mol * 8.31 J/mol K * 323K) / 13L
p= 290 kPa

Oxygen Cylinder in MR Scan Room


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