Distribution Of Molecular Speeds

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.

Which one of the following statement is not true about the effect of an increase in temperature on the distribution of molecular speed of gas ? .

The Maxwell-Boltzmann distribution law of molecular speeds is graphically represented as The curve has which of the following characteristics ?.

Statement-1 :The area under the maxwell distribution molecular speed curve remains same irrespective of temperature of gas. Statement-2 :The fraction of molecules with most probable speed increases with increases of temperature.