Home
Class 11
PHYSICS
A fiven sample of an ideal gas occupise ...

A fiven sample of an ideal gas occupise a volume V at a pressure p and sbsoulte temperature T.The mass of each molecule of the gas is m. Which of the following fives the dinsity of the gas ?

A

p/(Kt)

B

pm/(kT)

C

p/(kTV)

D

mkT

Text Solution

Verified by Experts

The correct Answer is:
B
Pressure, `p=1/3,(nm)/(V)v_(rms)^(2)`
`therefore` nm = mass of the gas, V= volume of the gas
`therefore (mn)/(V)=` density of the gas. Thus.
`p=1/3pv_(rms)^(2)=1/3p(3RT)/(M_(o))=(pRT)/(M_(o))" "(thereforev_(rms)=sqrt((3RT)/(M_(o))))`
`p=(pM_(o))/(RT)=(p mN_(A))/(kN_(A)T)" "(therefore R =N_(A)and M_(o)=mN_(A))`
`p=(p m)/(kT)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Match the columns|5 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

A gas enclosed in a vessel has pressure P, volume V and absolute temperature T, write the formula for number of molecule N of the gas.

An ideal gas has pressure P, volume V and temperature T. Select the correct option.

Knowledge Check

  • A given sample of an ideal gas occupies a volume pressrue P and absolute temperature T. The mass of molecules of the gas is m. Which of the following density of the gas?

    A
    `P//(kTV)`
    B
    ` mkT `
    C
    ` P//(kT)`
    D
    `Pm//kT`

  • A sample of an ideal gas occupies a volume V at pressure P and absolute temperature T. The masss of each molecule is m, then the density of the gas is

    A
    mKT
    B
    `(Pm)/(KT)`
    C
    `(P)/(km)`
    D
    `(P)/(KT)`

  • A sample of a perfect gas occupies a volume V at a pressure P and obsolete temperature T. The mass of each molecules is m, which of the following expression given the number of molecules in the sample?

    A
    `(PV)/(m)`
    B
    `(k)/(PVT)`
    C
    `(m)/(k)`
    D
    `(PV)/(kT)`

    • Similar Questions

    Explore conceptually related problems

    m is the mass of a molecule, k is he Boltzmann constant,p is the pressure and T is the absolute temperature.The density of the gas is given by?

    A given sample of an ideal gas follows the process V^(3)T^(2)= constant.Here V is the volume and T is the temperature both in SI units.The bulk modulus of the gas when its pressure becomes P is:

    A ideal gas has pressure 'p', volume 'V' and absolute temperature 'T'. It 'm' is the mass of each molecules and 'K' is the Boltzmann constant , the density of the gas is

    If P, V and T stand for pressure, volume and absolute temperature of a gas, which of the following will be true for Boyle's Law

    An ideal gas has a volume of 3 V at 2 atmosphere pressure. Keeping the temperature constant. Its pressure is doubled. The volume of the gas will be

    Home
    Profile