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Four identical 1.0-L flasks contain the gases He, Cl2, CH4, and NH3, each at 0°C and 1 atm pressure. For which gas do the molecules have the highest average velocity?
a) He
b) Cl2
c) all gases the same
d) NH3

Respuesta :

Answer:

a) He

Explanation:

The formula of average velocity of a gas, v, is:

[tex]v = \sqrt{\frac{8RT}{pi*M} }[/tex]

Where R is gas constant, T is temperature and M is molecular mass of the gas.

As you can see in the formula, the gas with the lowest molecular mass will be the gas with highest average velocity.

Molecular mass of He is 2g/mol; Cl₂ = 70g/mol; NH₃ = 17g/mol.

That means the gas with the highest average velocity is:

a) He

The gas that has the highest average velocity is He.

According to the kinetic theory of gases, gas molecules are in constant random motion. The average velocity of a gas sample is inversely proportional to its molar mass but directly proportional to its absolute temperature.

At the same temperature, the average velocity of gases depends on the molar mass. The gas that has the lowest molar mass will have the highest average speed.

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