Respuesta :
At a given temperature and pressure, the arrangement of gases based on the amount of volume they occupy, from the largest to the smallest volume is CH[tex]_{4}[/tex] < NH[tex]_{3}[/tex] < Ar < SO₂ < Cl₂ .
According to Avogadro's law, all gases with an identical volume and the same temperature and pressure have an equal number of molecules.
If the temperature and pressure are constant, the volume and amount (in moles) of an ideal gas for a given mass are directly proportional.
The volume of gas ∝ No. of moles of gas
It means that the more the no. of moles of gas, the greater will be the volume of gas.
Now, No. of moles = Given mass/ Molar mass
Given,
There is an equal mass of each gas at a given temperature and pressure.
So,
No. of moles is inversely proportional to the Molar mass of the gas.
Therefore we can conclude that the less the molar mass of gas, the more will be the no. of moles and the higher will be the volume of that gas.
The gas with the least molar mass will occupy the highest volume.
The molar mass of [tex]CH_{4}[/tex] = 16g/mol
The molar mass of [tex]NH_{3}[/tex] = 17g/mol
The molar mass of [tex]Cl_{2}[/tex] = 70g/mol
The molar mass of Ar = 40g/mol
The molar mass of [tex]SO_{2}[/tex] = 64g/mol
Arrangement of gases on basis of molar mass
Cl₂ < SO₂ < Ar < [tex]NH_{3}[/tex] < [tex]CH_{4}[/tex]
So Arrangement on basis of decreasing volume
[tex]CH_{4} < NH_{3} < Ar < SO_{2} < Cl_{2}[/tex]
Learn more about Avogadro's law here https://brainly.com/question/12779877
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