Advertisements
Advertisements
प्रश्न
Write the expression for rms speed, average speed and most probable speed of a gas molecule.
Advertisements
उत्तर
Root mean square speed: (vrms)
vrms = `sqrtbar("v"^2) = sqrt(3"kT")/"m" = 1.73 sqrt("kT"/"m")`
Average speed: `(bar"v")`
`bar"v" = ("V"_1 + "v"_2 + "v"_3 + .... + "v"_"n")/"N"`
`bar"v" = sqrt((8"RT")/(π"M")) = sqrt((8"kT")/(π"m")) = 1.60 sqrt("kT"/"m")`
Most probable speed: (vmp)
vmp = `sqrt((2"RT")/"M") = sqrt((2"kT")/"m") = 1.41sqrt("kT"/"m")`
APPEARS IN
संबंधित प्रश्न
The velocity of the three molecules is 2 km s-1, 4 km s-1, 6 km s-1. Find (i) mean square velocity (ii) root mean square velocity.
Which of the following gases will have the least rms speed at a given temperature?
Why moon has no atmosphere?
If the rms speed of methane gas in the Jupiter’s atmosphere is 471.8 ms−1, shows that the surface temperature of Jupiter is sub-zero.
The number of molecules in 100 cc of gas at N.T.P. is ______ if the mass of each molecule is 4.556 x 10-25 kg and R.M.S. speed is 250 m/s.
The molecular weights of oxygen and hydrogen are 32 and 2 respectively. The root mean square velocities of oxygen and hydrogen at N.T.P. are in the ratio ______
To what temperature should hydrogen at 227° C be cooled at constant pressure so that root mean square velocity of its molecule becomes half of its previous value?
The rms speed of oxygen molecule in a gas is u, If the temperature is doubled and the molecules dissociates into two atoms, the rms speed will be ______.
The temperature at which the molecules of nitrogen will have the same r.m.s. velocity as the molecules of oxygen at 327° C is ____________.
The root mean square speed of the molecules of a gas is proportional to ______.
[T =Absolute temperature of gas]
