Home
Class 11
CHEMISTRY
If C(1), C(2), C(3) ….. represent the sp...

If `C_(1), C_(2), C_(3) …..` represent the speeds on `n_(1), n_(2) , n_(3)…..` molecules, then the root mean square speed is

A

`sqrt((n_(1)C_(1)^(2)+n_(2)C_(2)^(2)+n_(3)C_(3)^(2)+...)/(n_(1)+n_(2)+n_(3)+...))`

B

`sqrt(((n_(1)+n_(2)+n_(3)+...)^(2))/(n_(1)C_(1)^(2)+n_(2)C_(2)^(2)+n_(3)C_(3)^(2)+...))`

C

`sqrt(((n_(1)C_(1)))/(n_(1))+((n_(2)C_(2)))/(n_(2))+((n_(3)C_(3)))/(n_(3)))`

D

`sqrt(((n_(1)C_(1)+n_(2)C_(2)+n_(2)C_(3)+...)^(2))/(n_(1)+n_(2)+n_(3)+...))`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • GASEOUS STATE

    NARENDRA AWASTHI|Exercise Level 1 (Q.31 To Q.60)|1 Videos
  • GASEOUS STATE

    NARENDRA AWASTHI|Exercise Level 1 (Q.121 To Q.150)|1 Videos
  • ELECTROCHEMISTRY

    NARENDRA AWASTHI|Exercise Level 3 - Subjective Problems|1 Videos
  • IONIC EEQUILIBRIUM

    NARENDRA AWASTHI|Exercise Exercise|196 Videos

Similar Questions

Explore conceptually related problems

If u_(1), u_(2), u (3) "…..." represent the speed of n_(1), n_(2) , n_(3) ,"…..." molecules , then the root mean square speed is "____________" .

If C_(1), C_(2), C_(3) ......are random speed of gas molecules, then average speed C_(av)= (C_(1)+C_(2)+C_(3)+...C_(n))/(n) and root mean square speed of gas molecules, C_(rms) = sqrt((C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...C_(n)^(2))/(n)) =C . Further , C_(2) prop T or C prop sqrt(T) at 0k, C=0 , ie., molecular motion stops. With the help of the passage given above , choose the most appropriate alternative for each of the following question: Temperature of a certain mass of a gas is doubled. the rms speed of its molecules becomes n times. where n is

If C_(1), C_(2), C_(3) ......are random speed of gas molecules, then average speed C_(av)= (C_(1)+C_(2)+C_(3)+...C_(n))/(n) and root mean square speed of gas molecules, C_(rms) = sqrt((C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...C_(n)^(2))/(n)) =C . Further , C_(2) prop T or C prop sqrt(T) at 0k, C=0 , ie., molecular motion stops. With the help of the passage given above , choose the most appropriate alternative for each of the following question: If three molecules have velocities 0.5, 1 and 2km//s , the ratio of rms speed and average speed is

If C_(1), C_(2), C_(3) ......are random speed of gas molecules, then average speed C_(av)= (C_(1)+C_(2)+C_(3)+...C_(n))/(n) and root mean square speed of gas molecules, C_(rms) = sqrt((C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...C_(n)^(2))/(n)) =C . Further , C_(2) prop T or C prop sqrt(T) at 0k, C=0 , ie., molecular motion stops. With the help of the passage given above , choose the most appropriate alternative for each of the following question: At what temperature, pressure remaining constant will the rms speed of a gas molecules increase by 10% is the rms speed at NTP?

If C_(1), C_(2), C_(3) ......are random speed of gas molecules, then average speed C_(av)= (C_(1)+C_(2)+C_(3)+...C_(n))/(n) and root mean square speed of gas molecules, C_(rms) = sqrt((C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...C_(n)^(2))/(n)) =C . Further , C_(2) prop T or C prop sqrt(T) at 0k, C=0 , ie., molecular motion stops. With the help of the passage given above , choose the most appropriate alternative for each of the following question: K.E. per gram mole of hydrogen at 100^(@)C (given R = 8.31 J "mole"^(-1)K^(-1) ) is

If C_(1), C_(2), C_(3) ......are random speed of gas molecules, then average speed C_(av)= (C_(1)+C_(2)+C_(3)+...C_(n))/(n) and root mean square speed of gas molecules, C_(rms) = sqrt((C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...C_(n)^(2))/(n)) =C . Further , C_(2) prop T or C prop sqrt(T) at 0k, C=0 , ie., molecular motion stops. With the help of the passage given above , choose the most appropriate alternative for each of the following question: KE per molecule of the gas in the above question becomes x times, where x is

Calculate the root mean square speed of methane molecules at 27^(@)C .