Home
Class 11
PHYSICS
Calculate the rms speed of smoke particl...

Calculate the rms speed of smoke particles of mass `5 xx 10^(-17) kg` in their Brownian motion in air at NTP. Given `k_(B) = 1.38 xx 10^(-23) J//K`

Text Solution

Verified by Experts

The correct Answer is:
1.5
According to kinetic theory, average K.E. of a gas molecule,
`1/2mv_(rms)^2=3/2k_BT`
`therefore v_(rms)=sqrt((3k_nT)/(m))=sqrt((3xx1.38xx10^(-23)xx273)/(5xx10^(-17))`
`=1.5 xx 10^(-2)ms^(-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The rms speed of particle of mass 5 xx 10^(-17) kg . In their random motion in air at NTP will be (Boltzmann's constant) K = 1.38 xx 10^(-23) J//K

The rms velocity of smoke particles of mass 3 xx 10^(-17) kg. at 27^(@)C in m/sec. is.

An assembly of smoke particle in air at NTP is under consideration. If the mass of each particles is 5 xx 10^(-17) kg . Then the rms speed is (Given: k = 1.38 xx 19^(-23) J K^(-1) )

Calculate the uncertainty in the velocity of a particle of mass 1.1xx10^(-27) kg if the uncertainty in the uncertainty in its position is 3xx10^(-10)cm .

Calculate the minimum uncertainty in velocity of a particle of mass 1.1 xx 10^-27 kg if uncertainty in its position is 3 xx 10^-10 cm .

The diameter of a gas molecule is 2.4 xx 10^(-10) m . Calculate the mean free path at NTP. Given Boltzmann constant k = 1.38 xx 10^(-23) J molecule^(-1) K^(-1) .

Calculate the average kinetic energy of hydrogen molecule at 0^@ C . Given k_(B) = 1.38 xx 10^(-23) JK^(-1) .

Calculate the average kinetic energy of neon molecule at 27^@ C . Given k_(B) = 1.38 xx 10^(-23) JK^(-1) .

Calculate the kinetic energy of one mole of argon at 127^(@)C . Given,Boltzmann's constant, k_(B) = 1.381 xx 10^(-23) J "molecular"^(-1) K^(-1) . Avogardro numbe, N = 6.02 xx 10^(23) "mol"^(-1)