Home
Class 11
PHYSICS
At what temperature is the root mean squ...

At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at `- 20 ^(@)C` ? (atomic mass of Ar = 39.9 u, of He = 4.0 u).

Text Solution

Verified by Experts

`2.52 xx 10^(3) K`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY

    NCERT GUJARATI|Exercise ADDITIONAL EXERCISE|4 Videos

  • KINETIC THEORY

    NCERT GUJARATI|Exercise ADDITIONAL EXERCISE|4 Videos

  • GRAVITATION

    NCERT GUJARATI|Exercise ADDITIONAL EXERCISES|4 Videos

  • LAW OF MOTION

    NCERT GUJARATI|Exercise EXERCISE (ADDITIONAL EXERCISE)|17 Videos

Similar Questions

Explore conceptually related problems

A flask contains argon and chlorine in the ratio of 2:1 by mass. The temperature of the mixture is 27^(@)C . Obtain the ratio of (i) average kinetic energy per molecule, and (ii) root mean square speed v_("rms") of the molecules of the two gases. Atomic mass of argon =39.9 u, Molecular mass of chlorine = 70.9 u.

The rms speed of helium gas at 27^(@)C and 1 atm pressure is 900 ms^(-1) . Then the rms speed of helium molecules at temperature 27^(@)C and 2 atm pressure is

Let barv,v_(rms) and v_p respectively denote the mean speed. Root mean square speed, and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature T. The mass of a molecule is m. Then

What is the de-Broglie wavelength of a nitrogen molecule in air at 300 K?Assume that the molecule is moving with the root-mean square speed of molecules at this this temperature.(Atomic mass of nitrogen-14.0076 u)

What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-meansquare speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)

A cubical box of side 1 m contains helium gas (atomic weight 4) at a pressure of 100 N//m^2 . During an observation time of 1 second , an atom travelling with the root - mean - square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms . Take R = (25)/3 j //mol - K and k = 1.38 xx 10^-23 J//K . (a) Evaluate the temperature of the gas. (b) Evaluate the average kinetic energy per atom. ( c) Evaluate the total mass of helium gas in the box.

A cubical box of side 1 m contains helium gas (atomic weight 4) at a pressure of 100 N//m^2 . During an observation time of 1 second , an atom travelling with the root - mean - square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms . Take R = (25)/3 j //mol - K and k = 1.38 xx 10^-23 J//K . (a) Evaluate the temperature of the gas. (b) Evaluate the total mass of helium gas in the box.

What is de-Broglie wavelength of a He-atom in a container at room temperature. ("use"U_(avg)=sqrt((8kT)/(pim)))

Four containers are filled with monoatomic ideal gases. For each container , the number of moles , the mass of an individual atom and the rms speed of the atoms are expressed in terms of n , m and v_("rms") respectively . If T_(A) , T_(B) , T_(C) and T_(D) are their temperatures respectively then which one of the options correctly represents the order ?