Question

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?

Answer 1

Answer:

Part a)

$n = 858.5 moles$

Part b)

$w = 27.47 kg$

Explanation:

Volume of the cylindrical container is given as

$V = \pi r^2 L$

now we have

$V = \pi(\frac{0.91}{2})^2(1.50)$

$V = 0.97 m^3$

pressure of the gas is given as

$P = 21.7 atm$

$P = 21.7 \times 1.01 \times 10^5$

$P = 2.19 \times 10^6 Pa$

Now we have

$PV = nRT$

$(2.19 \times 10^6)(0.97) = n(8.31)(273 + 25)$

$n = 858.5 moles$

Part b)

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

$\frac{w}{M} = 858.5$

$\frac{w}{0.032} = 858.5$

$w = 27.47 kg$