Home
Class 12
PHYSICS
Find rms speed of oxygen molecules at te...

Find `rms` speed of oxygen molecules at temperature `27^(@)C`.

Text Solution

Verified by Experts

Temperature , `T= 27^(@)C implies 273+27 = 300K,`
Molecular weight of oxygen =`32xx10^(-3)` kg and ` R=8.31J mol^(-1)K^(-1)`
rms velocity is `v_("rms") = sqrt((3RT)/(M))= sqrt((3xx8.31xx300)/(32xx10^(-3)))= 483.5 ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN |Exercise SOME WORKED OUT EXAMPLES|84 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -01|65 Videos

  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

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

The bond order of oxygen molecule is

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)

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere ? (Given : Mass of oxygen molecule (m) = 2.76 xx 10^(-26) kg , Boltzmann's constant k_B = 1.38 xx 10^(-23) JK^(-1) )

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)

Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 m^(3) at a temperature of 27 ^(@)C and 1 atm pressure.

A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases ae filled in left (L) and right (R) halves the rms speed of the molecules in L part is equal to the mean speed of moleucles in the R equal to the ratio of the mass of a molecules in L part to that of a molecules in R part is

An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 ^(@)C . After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17^(@)C . Estimate the mass of oxygen taken out of the cylinder ( R= 8.31 J mol^(-1) K^(-1) . molecular mass of O_(2) = 32 u ).