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Kinetic Theory of Gases

Which of the ...

Question

Which of the following gases has the highest average speed at $400 K$ ? (Molar masses of $U = 238 g / m o l$ , $S = 32 g / m o l$ and $F = 19 g / m o l$

S F_{6}

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U F_{6}

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C O_{2}

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N_{2} O_{4}

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Solution

The correct option is C $C O_{2}$
$u_{a v g} = \sqrt{\frac{8 R T}{π M}}$
Where T and M are temperature (in K) and molar mass respectively.
Molar mass of $S F_{6}$ = 146 g/mol
Molar mass of $U F_{6}$ = 352 g/mol
Molar mass of $C O_{2}$ = 44 g/mol
Molar mass of $N_{2} O_{4}$ = 92 g/mol
From the equation, molecular mass and velocity are inversely related and since $C O_{2}$ has lowest molecular mass here, it will have highest average speed.

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Similar questions

400 K

U = 238 g / m o l

S = 32 g / m o l

F = 19 g / m o l

5.1

N H_{4} S H

327^{0} C

N H_{4} S H

N H_{3} a n d H_{2} S

K_{p}

327^{0} C

(R = 0.082 L a t m m o l^{- 1}

S = 32 g m o l /^{01}

N = 14 g m o l^{- 1}

N_{2}

N O_{2}

N_{2} O_{4}

55.4

N_{2} O_{4}

N_{2} O_{4}

\to

2 N O_{2}

39.6

N_{2}

N O_{2}

N_{2} O_{4}

240 K

{Molecular mass of O_{2} = 32 g/mol & He = 4 g/mol}

1

N_{2}, N O_{2}

N_{2} O_{4}

55.4

N_{2} O_{4}

N_{2} O_{4} \to 2 N O_{2}

39.6

N O_{2}

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