At400 K, the root mean square (rms) speed of a gas X (molecular weight =40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of Y is

At400 K, the root mean square (rms) speed of a gas X (molecular weight

1.	At400 K, the root mean square (rms) speed of a gas X (molecular weight =40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of Y is
Answer» Solution :`u=sqrt((3RT)/(M))" and "ALPHA=sqrt((2RT)/(M))` `u_(X)=sqrt((3RT)/(M_(X)))"and "alpha_(Y)=sqrt((2RT_(Y))/(M_(Y)))` As `u_(X)=alpha_(Y),:. (3RT_(X))/(M_(X))=(2RT_(Y))/(M_(Y))` or `M_(Y)=(2)/(3)(T_(Y))/(T_(X))xx M_(X)=(2)/(3)xx(60)/(400)xx40=4`