Question 1
According to the kinetic molecular theory, as the absolute temperature of a gas is doubled, the average kinetic energy (KEave) of its molecules will
change in which of the following ways?

Respuesta :

Answer:

the average kinetic energy will double as well

Explanation:

According to the kinetic molecular theory of gases, the average kinetic energy of the particles in a substance is directly proportional to the absolute temperature of the gas (in Kelvin).

Mathematically:

[tex]KE=\frac{3}{2}kT[/tex]

where

KE is the average kinetic energy of the particles in a gas

k is the Boltzmann constant

T is the absolute temperature of the gas

From the equation, we see that

[tex]KE\propto T[/tex]

In this problem, the absolute temperature of the gas is doubled, so the new temperature is

[tex]T'=2T[/tex]

Therefore, the new kinetic energy of the molecules will be

[tex]KE'\propto T' = 2T \propto 2KE[/tex]

So, the average kinetic energy will double as well.

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