Velocity of 5 molecules of gas is 4 ms^(-1), 3 molecules is 10 ms^(-1) and 6 molecules is 6 ms^(-1), Then calculate u_(av), u_(rms) and u_(ms).

Velocity of 5 molecules of gas is 4 ms^(-1), 3 molecules is 10 ms^(-1)

1.	Velocity of 5 molecules of gas is 4 ms^(-1), 3 molecules is 10 ms^(-1) and 6 molecules is 6 ms^(-1), Then calculate u_(av), u_(rms) and u_(ms).
Answer» Solution :`u_(av)=` AVERAGE of different VELOCITY `u_(av)= ("Sum of total different velocity")/("Total number of molecules")` `= (5xx4 ms^(-1))+(3xx10 ms^(-1))+(6+6 ms^(-1))/((5+3+6)"molecules")` `= ((20+30+36)ms^(-1))/(14)=6.143 ms^(-1)` `u_(rms)=` Average root mean square SPEED `= sqrt((u_(1)^(2)+u_(2)^(2)+u_(3)^(2))/(n))` `= sqrt(((5XX(4)^(2))+(3xx10^(2))+(6xx6^(2)))/(5+3+6))` `= sqrt((80+300+216)/(14))` `= sqrt(42.57)=6.527 ms^(-1)` Most probable speed `(u_(ms))=0.816xx u_(rms)` `= 0.816xx6.527` `= 5.326 ms^(-1)`