An empty cylindrical canister 1.50 m long and 91.0 cm in diameter is to be filled with pure oxygen at 25.0 C to store in a space station. To hold as much gas as possible, the absolute pressure of the oxygen will be 21.7atm . The molar mass of oxygen is 32.0g/mol .Finda. how many moles of oxygen does this canister hold?b. For someone lifting this canister, by how many kilograms does this gas increase the mass to be lifted?

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aristocles aristocles · Answer 1 · 2019-12-09T02:49:01+01:00

Answer:

Part a)

[tex]n = 858.5 moles[/tex]

Part b)

[tex]w = 27.47 kg[/tex]

Explanation:

Volume of the cylindrical container is given as

[tex]V = \pi r^2 L[/tex]

now we have

[tex]V = \pi(\frac{0.91}{2})^2(1.50)[/tex]

[tex]V = 0.97 m^3[/tex]

pressure of the gas is given as

[tex]P = 21.7 atm[/tex]

[tex]P = 21.7 \times 1.01 \times 10^5 [/tex]

[tex]P = 2.19 \times 10^6 Pa[/tex]

Now we have

[tex]PV = nRT[/tex]

[tex](2.19 \times 10^6)(0.97) = n(8.31)(273 + 25)[/tex]

[tex]n = 858.5 moles[/tex]

Part b)

Mass of the container is increased as the mass of the gas

[tex]\frac{w}{M} = 858.5[/tex]

[tex]\frac{w}{0.032} = 858.5[/tex]

[tex]w = 27.47 kg[/tex]