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Equipartition Theorem

Four one lite...

Question

Four one liter flasks are separately filled with the gases $H_{2}, H e, O_{2}, O_{3}$ at the same temperature and pressure. The ratio of the weights of these gases is:

A

1:1:1:1

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B

2:1:2:3

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C

1:2:16:24

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D

2:1:16:24

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Solution

The correct option is C 1:2:16:24
The gases are $H_{2}$ , $H e$ , $O_{2}$ , $O_{3}$
The weight of the gases are:
$H_{2}$ = 2 g/mol
$H e$ = 4 g/mol
$O_{2}$ = 32 g/mol
$O_{3}$ = 48 g/mol
The ratio of all the gases are $= 2 : 4 : 32 : 48 = 1 : 2 : 16 : 24$

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