Ideal Gas Law II An empty cylindrical canister 1.60 m long and 88.0cm in diamete

Question

Ideal Gas Law II

An empty cylindrical canister 1.60 m long and 88.0cm in diameter is to be filled with pure oxygen at 27.0 C to store in a space station. To hold as much gas as possible, the absolute pressure of the oxygen will be 21.1 atm . The molar mass of oxygen is 32.0 g/mol.

Part A

How many moles of oxygen does this canister hold?

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Part B

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

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Ideal Gas Law II

An empty cylindrical canister 1.60 m long and 88.0cm in diameter is to be filled with pure oxygen at 27.0 C to store in a space station. To hold as much gas as possible, the absolute pressure of the oxygen will be 21.1 atm . The molar mass of oxygen is 32.0 g/mol.

Part A

How many moles of oxygen does this canister hold?

n = mol

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Part B

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

mtotal = kg

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Explanation / Answer

According the given problem,

1.) First fine the volume of the canister,

Volume of canister = [*0.442] *1.6 = 0.973 m3

Pressure of oxygen = 21.1 x 1.01 x 105 Pa = 2.13 x 106 Pa

Use the ideal gas equation, PV = nRT

as the no. of moles of oxygen, n = PV/RT

n = (2.13x106) x (1.041)/(8.31 x 300) = 831.

2. Given the molar mass of oxygen = 32 g/mol

Mass of oxygen = 881 x 32 g = 26.6 kg

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