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)
Advertisements
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
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?
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.
A container has a mixture of two gases, hydrogen, and oxygen at room temperature. Which one of the following statements is true, if VH and VO are the root mean square velocities of hydrogen and oxygen molecules respectively?
Ratio of pressures exerted by two gases is 4 : 3 and their densities are in the ratio 3 : 4. The ratio of their R.M.S. velocities is ____________.
The root mean square speed of the molecules of a gas is proportional to ______.
[T =Absolute temperature of gas]
If the absolute temperature of a gas is increased 5 times, then the rms velocity of the gas molecules will be ______.
Compare the rms speed of hydrogen molecules at 227°C with the rms speed of oxygen molecules at 127°C. Given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.
