Advertisements
Advertisements
प्रश्न
Calculate the temperature at which the rms velocity of a gas triples its value at S.T.P. (standard temperature T1 = 273 K)
उत्तर
At STP temperature T1 = 273 K
RMS velocity of a gas, (vrms)1 = v
New RMS velocity of a gas, at temperature (T2)
New temperature T2 = ?
vrms = `sqrt((3"RT")/"M")`
`("v"_"rms")_1/("v"_"rms")_2 = sqrt("T"_1/"T"_2)`
T2 = `[("v"_"rms")_2/("v"_"rms")_1]^2 xx "T"_1`
= `((3"v")/"v")^2 xx 273`
= 9 × 273
T2 = 2457 K
APPEARS IN
संबंधित प्रश्न
An ideal gas is maintained at constant pressure. If the temperature of an ideal gas increases from 100 K to 10000 K then the rms speed of the gas molecules
Why moon has no atmosphere?
Write the expression for rms speed, average speed and most probable speed of a gas molecule.
A fresh air is composed of nitrogen N2 (78%) and oxygen O2 (21%). Find the rms speed of N2 and O2 at 20°C.
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 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]
