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A Gas Cylinder Contains 12 X 1024 Molecules of Oxygen Gas. the Mass of Oxygen Present in the Cylinder. and the Volume of Oxygen at S.T.P. Present in the Cylinder. [O = 16] - Chemistry

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Question

A gas cylinder contains 12 x 1024 molecules of oxygen gas.

If Avogadro’s number is 6 x 1023; Calculate:

1)The mass of oxygen present in the cylinder.

2) The volume of oxygen at S.T.P. present in the cylinder. [O = 16]

Solution

1) 1 mole oxygen molecule = 6.022 x 1023 molecules

x moles of oxygen molecule = 12 x 1024 molecules

19.93 moles of oxygen molecule = 12 x 1024 molecules.

Number moles of O2 = `("Mass of" O_2)/("Molar mass of " O_2)`

Mass of O2 = 32 x 19.93 = 637.76 g

2) 6.022 x 1023 molceules occupies 22.4 L

12 x 1024 molecules occupies = `(12 xx 10^24 xx22.4)/(6.022 xx 10^23)` = 446.36 L volume

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Fundamental Laws of Gases - Avogadro’s Law
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2015-2016 (March) Science Paper 2
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