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.

The distribution of the molecular velocities of gas molecules at any temperature T is shown below. (The plot below is known as Maxwell's distribution of molecular speeds.) where v is molecular velocity n is number of molecules having velocity v Let us define Delta N_(v) , which is equal to the number of molecules between the velocity range v and v+ Delta v , given by Delta N_(v)=4piNa^(3)e^(-bv^(2))v^(2)Deltav where N is total number of molecules a=sqrt((M_(0))/(2piRT)) and b=(M_(0))/(2RT) R is universal gas constant T is temperature of the gas M_(0) is molecular weight of the gas Answer the following question: SI units of a are

The distribution of the molecular velocities of gas molecules at any temperature T is shown below. (The plot below is known as Maxwell's distribution of molecular speeds.) where v is molecular velocity n is number of molecules having velocity v Let us define Delta N_(v) , which is equal to the number of molecules between the velocity range v and v+ Delta v , given by Delta N_(v)=4piNa^(3)e^(-bv^(2))v^(2)Deltav where N is total number of molecules a=sqrt((M_(0))/(2piRT)) and b=(M_(0))/(2RT) R is universal gas constant T is temperature of the gas M_(0) is molecular weight of the gas Answer the following question: SI units of b are

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 ? .