Molecular Speeds

Consider the following statements and arrange in the order of true/false as given in the codes. S_1 :Speed possessed by maximum number of molecules of gas is called most probable speed S_2 :Molecular speeds are function of temperature for a particular gas. S_3 :If amount of gas is increased then most probable speed also increases. S_4 :The root mean square speed of an ideal gas is proportional to 1/sqrtd

The Maxwell-Boltzmann distribution of molecular speeds in a sample of an ideal gas can be expressed as f=(4)/(sqrt(pi))((m)/(2kT))^(3//2)v^(2)e^(-(mv^(2))/(2kT)).dv Where f represent the fraction of total molecules that have speeds between v and v + dv.m, k and T are mass of each molecule, Boltzmann constant and temperature of the gas. (a) What will be value of int_(v=0)^(v=oo)fdv ? (b) It is given that int_(0)^(oo) v^(3)e^(-av^(2))dv=(1)/(2a^(2)) Find the average speed of gas molecules at temperature T.

Explain Maxwell distribution of molecular speed with necessary graph.