Q. 174.5( 2 Votes )

The mean speed of the molecules of a hydrogen sample equals the mean speed of the molecules of a helium sample. Calculate the ratio of the temperature of the hydrogen sample to the temperature of the helium sample.

Answer :

In kinetic theory of ideal gas mean speed also known as average


speed is given as



Where R=gas constant=8.31Jmol-1K-1


T=temperature of gas


M=molar mass of gas


Given



Let temperature of hydrogen gas =T(H)


Temperature of helium gas= T(He)


Molar mass of hydrogen gas =2amu


Molar mass of helium gas =4amu




Squaring both sides



the ratio of the temperature of the hydrogen sample to the temperature of the helium sample is 1:2.


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