Respuesta :

The gas particle that will travel the slowest is the gas particle that has the highest mass. From the question given, Argon has the mass of 40, Hydrogen mass is 1, Xenon mass is 131, Chlorine mass is 35.5 and fluorine mass is 19.
From these mass values, it can be seen that the xenon particle is the one that will travel at the slowest rate.

The gas particle that travels the slowest : Xe

Further explanation

Kinetic Molecular Theory (KMT) states that a gas consists of molecules that move at a constant and random speed. The collisions between molecules are perfectly elastic so that no energy is wasted.

The molecules move in straight lines until they collide

Energy because this motion is expressed as Kinetic energy (KE) which can be formulated as:

 [tex] \displaystyle KE = \dfrac {1} {2} mv ^ 2 [/tex]

The average kinetic energy value is only affected by temperature changes. The higher the temperature, the average kinetic energy of the molecule increases

This molecule is very small when compared to the distance between molecules, so the volume of gas contains mostly empty space

Gas particles move randomly (both speed and direction, as vector)

Average velocities of gases can be expressed as root-mean-square velocity. (V rms)

[tex] \large {\boxed {\bold {v_ {rms} = \sqrt {\frac {3RT} {mm}}}} [/tex]

R = gas constant, 8,314 J / mol K

T = temperature,

Mm = molar mass of the gas particles

From this equation shows that the velocity of the gas is inversely proportional to the molar mass of the gas particles

v ≅ 1 / Mm

So that the greater the molar mass of the gas particles, the smaller the speed

(the slowest)

The molar mass of the given gases are:

  • Ar : 39.95 g/mol
  • H₂ : 2 g/mol
  • Xe : 131.3 g/mol
  • Cl₂ : 70.9 g/mol
  • F₂ :  38 g/mol

It can be seen that Xe has the largest molar mass so that it has the lowest particle gas velocity(the slowest)

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