Question

A 22-cm-diameter cylinder that is 43 cm long contains 44 g of oxygen gas at 20∘C

What is the reading of a pressure gauge attached to the tank?

Answer 1

Hi,

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Given that,

Diameter of the cylinder, d = 22 cm = 0.22 m

Therefore, Radius of the cylinder, R = d/2 = 0.22/2 m = 0.11 m

Height of the cylinder, h = 43 cm = 0.43 m

Therefore, Volume of the cylinder is given by:

Also, Given that,

Mass of Oxygen gas in cylinder, m = 44 g

Molar mass of oxygen, M = 32 g/mol

Therefore, No.of moles of oxygen gas inside the cylinder,

Temperature, T = 20^oC = 293 K

Therefore according to Ideal gas equation, pressure of the gas is given by:

That is, Reading of the pressure gauge attached to the tank will read 204916.4 Pa.

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