An empty cylindrical canister 150 m long and 900 cm in diame

An empty cylindrical canister 1.50 m long and 90.0 cm in diameter is to be filled with pure oxygen at 30.0 C to store in a space station. To hold as much gas as possible, the absolute pressure of the oxygen will be 21.8 atm . The molar mass of oxygen is 32.0 g/mol.

How many moles of oxygen does this canister hold?

For someone lifting this canister, by how many kilograms does this gas increase the mass to be lifted?

Solution

Volume = [pi * (0.90 / 2)²] * 1.5

= 0.954 m³

Pressure of oxygen = 21.8 * 1.01 * 10⁵ Pa = 2.20 * 10⁶ Pa

P V = n R T

n = P V / R T

= (2.20 * 10⁶ * 0.954) / (8.31 * 303)

= 834

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Mass of oxygen = 834 * 32 g

= 2.67 * 10⁴ g = 26.7 kg