Root Mean Square Speed
Trending Questions
Q.
The dimensional formula for temperature gradient is?
Q. If the r.m.s. velocity of a gas at a given temperature (Kelvin scale) is 300 m/s, whathat will be the r.m.s. velocity of a gas having twice the molecular weight and half the temperature on Kelvin scale =
- 300 m/sec
- 600 m/sec
- 75 m/sec
- 150 m/sec
Q. Suppose a container is evacuated to leave just one molecule of a gas in it. Let vav and vrms represent the average speed and rms speed of the gas.
- vav>vrms
- vav<vrms
- vav=vrms
- vrms is undefined
Q. Five gas molecules chosen at random are found to have speed of 500 m/s, 600 m/s, 700 m/s, 800 m/s and 900 m/s. The approximate rms speed is :
- 600 m/s
- 900 m/s
- 500 m/s
- 714 m/s
Q. Assume a gas X is enclosed in an insulated container [no heat exchange]. Now, suppose the collisions are no more elastic. What would happen to the rms speed of the gas with the passage of time?
- It will remain constant.
- It will decrease.
- It will increase.
- It will increase first and then it wil decrease.
Q. In two vessels of same volume atomic hydrogen and helium at pressure 1 atm and 2 atm are filled. If temperature of both the samples is same, then average speed of hydrogen atom ¯vH will be related to helium ¯vHe as
- ¯vH=√2¯vHe
- ¯vH=¯vHe
- ¯vH=2¯vHe
- ¯vH=¯vHe2
Q. If mean square of x− component of the velocity of molecules is denoted by ω2, then R.M.S velocity of molecules will be
- ω
- ω23
- 3ω2
- ω3
Q. The root mean square speed of the molecules of a gas is 1260 m/s. The average speed of the molecules is
- 1260 m/s
- 1161 m/s
- 1671 m/s
- 1061 m/s
Q. If v1, v2 and v3 represents the root mean square speed, average speed and most probable speed of an ideal gas respectively, then v1:v2:v3 is
- √3:√8π:√2
- √8π:√3:√2
- √2π:√2:√3
- 1:1:1
Q. N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2. The ratio w2v2 is
- 1
- 2
- 13
- 23
Q. The temperature of an ideal gas is increased from 27∘C to 127∘C. Then, percentage increase in Vrms is
- 37%
- 11%
- 33%
- 15.5%
Q.
The root mean square speed of the molecules of a gas at absolute temperature T is proportional to
1/T
√T
T
T2
Q. In two vessels of same volume atomic hydrogen and helium at pressure 1 atm and 2 atm are filled. If temperature of both the samples is same, then average speed of hydrogen atom ¯vH will be related to helium ¯vHe as
- ¯vH=√2¯vHe
- ¯vH=¯vHe
- ¯vH=2¯vHe
- ¯vH=¯vHe2
Q.
In a sample of an ideal gas the average momentum of a molecule depends on
pressure
mass of gas
number of moles
none of these
Q. The root mean square speed of a gas molecule is 300 m/s. What will be the root mean square speed of the molecules if the atomic mass is doubled and absolute temperature is halved?
- 300 m/s
- 150 m/s
- 600 m/s
- 175 m/s
Q. The root mean square speed of the molecules of a gas at 20 ∘C is v. If the temperature of the gas is raised by 10 ∘C, then the root mean square speed of the gas molecules will be nv where n is
[Answer upto two decimal places]
[Answer upto two decimal places]
Q. The rms velocity of gas molecules of a given amount of a gas at 27∘C and 1.0×105N m−2 pressure is 200 m sec−1. If temperature and pressure are respectively 127∘C and 0.5×105 N m−2, the rms velocity will be:
- 400√3 ms−1
- 100√2 ms−1
- 100√23 ms−1
- 50√23 ms−1
Q. The root mean square speed of the molecules of a gas is 1260 m/s. The average speed of the molecules is
- 1260 m/s
- 1161 m/s
- 1671 m/s
- 1061 m/s
Q.
E0 and Eh respectively represent the average kinetic energy of a molecule of oxygen and hydrogen. If the two gases are at the same temperature, which of the following statements is true?
E0>Eh
E0=Eh
E0<Eh
Nothing can be said about the magnitude of E0 and Eh as the information given is insufficient.
Q. The rms speed of oxygen at room temperature is about 500 m/s. The rms speed of hydrogen at the same temperature is about
- 125 m/s
- 2000 m/s
- 8000 m/s
- 31 m/s
Q. The average time taken by a molecule of oxygen at 300 K to travel a distance equal to the diameter of the earth is : (Diameter of earth =12800 km)
- 5 hr
- 10 hr
- 8 hr
- 15 hr
Q. If the r.m.s. velocity of a gas at a given temperature (Kelvin scale) is 300 m/s, whathat will be the r.m.s. velocity of a gas having twice the molecular weight and half the temperature on Kelvin scale =
- 300 m/sec
- 600 m/sec
- 75 m/sec
- 150 m/sec
Q. The root mean square speed of a gas molecule is 300 m/s. What will be the root mean square speed of the molecules if the atomic mass is doubled and absolute temperature is halved?
- 300 m/s
- 150 m/s
- 600 m/s
- 175 m/s
Q.
The average kinetic energy of a gas molecule at 27∘ is 6.21×10−21J. The average kinetic energy at 227∘ will be
9.35×10−21J
10.35×10−21J
11.35×10−21J
12.35×10−21J
Q. Given molecular weight of hydrogen molecule is M=2.016×10−3 kg/mol. Calculate the root - mean-square speed of hydrogen molecules (H2) in km/s at 373.15 K(100∘C). (Answer to the nearest integer)
Q. If the rms velocity of a gas is v, then
- v2T=constant
- v2T=constant
- vT2=constant
- v is independent of T
Q. The mean square speed of molecules of a gas at absolute temperature T is proportional to
- T
- 1/T
- T^2
- None of these
Q. The root mean square speed of a gas molecule at 20 ∘C is v. If the temperature of the gas is raised by 10 ∘C, then the root mean square speed of the gas molecule will be
- 2 v
- 1.08 v
- 1.02 v
- 1.5 v
Q. The root mean square speed of the molecules of a gas at 20 ∘C is v. If the temperature of the gas is raised by 10 ∘C, then the root mean square speed of the gas molecules will be nv where n is
[Answer upto two decimal places]
[Answer upto two decimal places]
Q. A closed vessel contains a mixture of two diatomic gases A and B. Molar mass of A is 16 times that of B and mass of gas A contained in the vessel is 2 times that of B. Which of the following statements are correct?
- Average kinetic energy per molecule of A is equal to that of B.
- Root-mean-square value of translational velocity of B is four times that of A.
- Pressure exerted by B is eight times of that exerted by A.
- Number of molecules of B, in the cylinder, is eight times that of A.