Home
Class 11
PHYSICS
For a monotomic gas at temperature T, ma...

For a monotomic gas at temperature T, match the following columns.
`{:(,"ColumnI",, "ColumnII"),((A),"Speed of sound", (p),sqrt(2RT//M)),((B),"RMS speed of gas molecules",(q),sqrt(8RT//piM)),((C),"Average speed of gas molecules",(r),sqrt(3RT//M)),((D),"Most probable speed of gas molecules",(s),sqrt(5RT//3M)):}`

Text Solution

Verified by Experts

The correct Answer is:
`(Ator,BtoT,Ctoq,Dtos)`

For monoatomic gas `gamma=5/3`
Speed of sound in a gas
`v_(sound)=sqrt((gammaRT)/M)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos
  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise B medical entrance special format questions|14 Videos
  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Level 2 Subjective|8 Videos
  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 Subjective|9 Videos

Similar Questions

Explore conceptually related problems

Match the following: {:("Column-I","Column-II"),((A)" Root mean square velocity",(p) sqrt((3P)/(d))),((B)" Average velocity",(q) sqrt((3RT)/(m))),((C)" Most probable velocity",(r) sqrt((8P)/(pid))),((D)" Velocity possessed by maximum fraction of molecules",(s) sqrt((2RT)/(m))):}

An ideal gas consists of a large number of identical molecules. Absolute temperature of the gas is T(in kelvin). Molecular weight of gas is M and R is gas constant. Mathch the proper entries from column-2 to column-1 using the codes given below the columns. {:("Column"-1,"Column"-II),((P)"Root mean square speed of molecules is greater than",(1)sqrt((RT)/(M))),((Q)"Most probable speed of molecues is smaller than",(2)1.5sqrt((RT)/(M))),((R)"Average velocity of a molecule is smaller than",(3)2sqrt((RT)/(M))),((S)"Speed of a molecule may be greater than",(4)2.5sqrt((RT)/(M))):}

Knowledge Check

  • Five molecules of a gas have speeds 1, 1, 3, 3, 2 km/s the value of the r.m.s spreed of the gas molecules is

    A
    `sqrt(4/5)km//s`
    B
    `sqrt(23/5)km//s`
    C
    `sqrt(24/5)km//s`
    D
    `sqrt(87/5)km//s`
  • The average speed of an ideal gas molecule at 27^(@)C is 0.3 m, sec^(-1) . The average speed at 927^(@)C

    A
    `0.15 m sec^(-1)`
    B
    `0.6 m sec^(-1)`
    C
    `1.2 m sec^(-1)`
    D
    `0.6 cm sec^(-1)`
  • The ratio of average speed of an oxygen molecule to the r.m.s. speed of a N_(2) molecule at the same temperature is :

    A
    `((3pi)/(7))^(1//2)`
    B
    `((7)/(3pi))^(1//2)`
    C
    `((3)/(7pi))^(1//2)`
    D
    `((7pi)/(3))^(1/2)`
  • Similar Questions

    Explore conceptually related problems

    Match the following: {:("Column-I","Column-II"),((P)" R.M.S",(1) (2)/(3)NKT),((Q)" PV",(2) KT ),((R)" Average K.E.",(3) sqrt((3PV)/(M))),((S)" Most probable speed" ,(4) sqrt((2RT)/(M))):}

    The average speed of gas molecules is 400 m/sec. Calculate its rms speed at the same temperature.

    The speed of 8 molecules of a gas are as 2 , 3 , 2 , 4 , 5 , 4 , 6 , 4 (m/s). The most probable speed of gas molecule (in m/s) is

    Five molecules of a gas have speed 2, 4, 6, 8 km//s . Calculate average speed. Rms speed and most probable speed of these molecules.

    {:(,"Column-I",,"Column-II"),("(P)","If volume of gas molecules be negligible",,(1)(P+a/V_(2))(V-b)=RT),("(Q)","At very high pressure",,"(2)PV=RT+Pb"),("(R)","At low pressure and high temperature",,(3)PV=RT-a/V),("(S)","van der Waal's gas",,"(4)PV=RT"):}