on the following statement: When two gases are mixed, if they are to be in thermal equilibrium, they must have the same average molecular speed. Is the statement correct? Why or why not?
Solution 14DQ Step 1 of 3: Not correct, According to kinetic theory of gases, when two or more gases are mixed; as they reach thermal equilibrium, both the gases will be acheive same temperature resulting in equal amount of average kinetic energy on both the gas molecules. That is, when the molecules of different gases are mixed at same temperature, they will achieve equal kinetic energy (from gas laws). 1 2 KE= mv2 Where KE is the kinetic energy, m is the mass of atom and v is the speed of atom. Step 2 of 3: Let us consider an examples of mixture of hydrogen and nitrogen at thermal equilibrium, Since at thermal equilibrium both hydrogen and nitrogen in a mixture will have same temperature, there kinetic energies will be same KE h KE n Using above equation of KE, 1m v = m v1 n 2 2 h h 2 n 2 2 m h h m v n n Where m ,h ahe the mass and speed of hydrogen molecule and m ,v are nhenmass and speed of nitrogen molecule