contestada

A) If the pressure in a gas is doubled while its volume is held constant, by what factor do vrms change?

B) If the pressure in a gas is doubled while its volume is held constant, by what factor do v¯ change?

Respuesta :

Answer:

Explanation:

The rms velocity of the gas molecules is directly proportional to the square root of absolute temperature of the gas.

[tex]v_{rms}\alpha \sqrt{T}[/tex]

As the pressure is doubled and the volume is constant s the temperature also doubled and the rms velocity becomes √2 times the present value.

(B) Similarly, the average velocity of gas molecules is directly proportional to the square root of the absolute temperature of the gas.

[tex]v_{avergae}\alpha \sqrt{T}[/tex]

As pressure is doubled and the volume is constant s the temperature also doubled and the average velocity becomes √2 times the present value.

Pressure is defined as the force applied perpendicular to the surface of an object, or simply it is the ratio of the force applied to per unit area.

The answers can be explained as:

(A) The RMS velocity of the gas molecules is directly proportional to the square root of temperature. However, it is inversely proportional to the square root of molar mass.

The equation for the following can be expressed as:

[tex]\text V_\text{rms}[/tex] ∝ [tex]\sqrt {\text T}[/tex]

The pressure and temperature are doubled and volume is kept constant, such that rms velocity becomes [tex]\sqrt{2}[/tex] times the actual or original value.

(B) The average velocity of the gas is directly proportional to the square root absolute temperature of the gas.

The  equation for the following can be expressed as:

[tex]\text V_\text{average}[/tex] ∝ [tex]\sqrt {\text T}[/tex]

The pressure, average velocity will also become [tex]\sqrt{2}[/tex] times the actual or original value.

To know more about pressure and volume, refer to the following link:

https://brainly.com/question/14354910

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