1.

Prove that P = 1/3pv2.

Answer»

We know that, root mean square velocity

v = \(\sqrt\frac{3RT}M\)

\(\because\)Pv = nRT

n = 1

v = \(\sqrt\frac{3pv}M\) 

v = \(\sqrt\frac{3pv}{M/v}\)

v = \(\sqrt\frac{3p}p\) 

v2 = \(\frac{3p}p\)

p = \(\frac13pv^2\)



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