1.

In an experiment, the specific heats of some inert gases (at ordinary temperature) are measured. These are shown in the table below.GasAtomic masscal.g-1K-1mHelium4.000.748Neon20.180.147Argon39.940.0760Krypton83.800.0358Xenon131.300.0226Try to discover a regularity in the data and explain it on the basis of kinetic theory.

Answer»

Let us find the product of atomic mass and specific heat i.e., molar sp. heat from the given data

(i) For Helium, M x cv = 4 x 0.748 = 2.99 Cal/K

(ii) For Neon, M x cv = 20.18 x 0.147 = 2.97 Cal/K

(iii) For Argon, M x cv = 39.94 x 0.076 = 3.04 Cal/K

(iv) For Crypton, M x cv = 83.83 x 0.358 = 3.00 Cal/K

(v) For Xenon, M x cv = 131.3 x 0.226 = 2.97 Cal/K

and 3/2 R = 3/2 x 1.98 = 2.97 Cal/K

So, from the above data, it is clear that molar specific heat i.e., product of a atomic mass and specific heat is nearly constant for all the gases and is  equal to 3/2 R, in case of all monoatomic gases as given by the kinetic theory of gas



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