In thermal equilibrium the rms velocity ...

In thermal equilibrium the rms velocity of a gas molecule is

proportional to `T^3`

proportional to `T^2`

proportional to `sqrt T`

zero

Text Solution

Verified by Experts

The correct Answer is:

rms speed of a gas molecule, `c=sqrt((3RT)/M)`

Topper's Solved these Questions

KINETIC THEORY OF GASES
CHHAYA PUBLICATION|Exercise Examinations Archive with Solutions(WBJEE)|3 Videos
KINETIC THEORY OF GASES
CHHAYA PUBLICATION|Exercise Examinations Archive with Solutions(JEE Main)|4 Videos
KINETIC THEORY OF GASES
CHHAYA PUBLICATION|Exercise ENTRANCE CORNER(Integer answer type)|5 Videos
HYDROSTATICS
CHHAYA PUBLICATION|Exercise CBSE SCANNER|1 Videos
MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY
CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

In a container of volume 1L, there are 10^(23) gas molecules, each of which has a mass of 10^(-22) g. at a certain temperature, if the rms velocity of these molecules is 10^(5)cm*s^(-1) , then what would be the pressure at the temperature inside the container?

Temperature of an ideal gas initially at 27^@C is raised by 6^@C , The rms velocity of the gas molecule will

At what temperature will the rms velocity of SO_(2) molecules be equal to the rms velocity of O_(2) molecules at 25^(@)C ?

When the temperature of a gas is raised from 30^(@) C to 90^(@) C, the percentage increase in the rms velocity of the molecules will be

The temperature of a gas in increased from 27^@C to 327^@C . Show that the rms velocity of the gas molecules at higher temperature is sqrt2 times the velocity at the initial temperature.

The temperature of a gas is increased from 27 ^(@) C to 327 ^(@ ) C . Show that the rms velocity of the gas molecules at higher temperature is sqrt(2) times the velocity at the intial temperature .

We know that the velocity of a gas molecule is approximately equal to the velocity of a rifle bullet,Yet,a gas molecule spends much longer time than a bullet does to travel equal distance Explain.

How does the average velocity or the root mean square velocity of gas molecules depend on temperature and pressure?

CHHAYA PUBLICATION-KINETIC THEORY OF GASES-Examinations Archive with Solutions(WBCHSE)

Use kinetic theory of gases to show that the average kinetic energy of...
Text Solution
|
What is mean free path of a gas molecule? On What factors does it depe...
Text Solution
|
Which one of the following is not true for an ideal gas ?
Text Solution
|
From the relation p=1/3 mnc(rms)^2 show that the mean kinetic energy o...
Text Solution
|
From the relation Cp-Cv=R show that the ratio of two specific heats (g...
Text Solution
|
A monatomic ideal gas is heated at constant pressure. How much fractio...
Text Solution
|
From kinetic theory prove that pressure of a gas p=(2E)/(3v) (where v=...
Text Solution
|
What will be the effect on rms velocity of a gas particle when (i) Tem...
Text Solution
|
The degrees of fraction of a molecular gas is n. Show that the ratio o...
Text Solution
|
In thermal equilibrium the rms velocity of a gas molecule is
Text Solution
|
Write the expression for mean free path.
Text Solution
|
The mean free path of oxygen molecule at NTP is 9.5 times 10^-6 cm Wha...
Text Solution
|
From kinetic theory of gases prove that the pressure of a gas p=2E//3V...
Text Solution
|
State two fundamental postulates of kinetic theory of ideal gases.
Text Solution
|
The temperature of a gas in increased from 27^@C to 327^@C. Show that...
Text Solution
|
The volume and pressure of two moles of an ideal gas and V and p respe...
Text Solution
|
The perfect gas equation for 4g of hydrogen gas is
Text Solution
|
From the relation p=1/3 mnc(rms)^2 show that the mean kinetic energy o...
Text Solution
|
Define degrees of freedom Write down the principle of equipartition of...
Text Solution
|