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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 $F = 19 g / m o l$

A

S F_{6}

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B

U F_{6}

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C

C O_{2}

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D

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

Q. 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

F = 19 g / m o l

5.1

N H_{4} S H

is introduced in 3.0 L evacuated flask at

327^{0} C

. 30% of the solid

N H_{4} S H

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

K_{p}

of the reaction at

327^{0} C

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

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

, molar mass of

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

.

Q. If the kinetic energy in

J

C H_{4}

= 16 g m o l^{- 1}

) at T(K) is X, the kinetic energy in

J

O_{2}

= 32 g m o l^{- 1}

) at the same temperature is :

$5.1 g N H_{4} S H$ is introduced in 3.0 L evacuated flask at $327^{o} C$ . 30% of the solid $N H_{4} S H$ decomposed to $N H_{3} a n d H_{2} S$ as gases. The $K_{P}$ of the reaction at $327^{o} C$ is
$(R = 0.082 L a t m m o l^{- 1}$ ,
molar mass of $S = 32 g m o l^{- 1}$ ,
molar mass $N = 14 g m o l^{- 1} .$

A polymer has following molar mass distribution:

Number of molecules Molar mass (

g / m o l

50

5000

75

6000

Calculate the number average molar mass (

{- M}_{n}

) of the polymer.

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