You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Chemistry

Collision Theory

If T is the a...

Question

If T is the absolute temperature of the planet, Ve is the escape velocity from it's surface and R is the universal Gas constant, Then Gas molecular weight M can be retained on the surface of the planet is ?
OPTIONS
1)(3RT/M)^1/2 >Ve 2) (3RT/M)^1/2 <Ve 3) 3RT/M =Ve
4) Ve=0

Open in App

Solution

The root mean square speed is given by (3RT/M)^1/2
Where T is the temperature of the planet,
R=universal gas constant
M=gas molesuler weight
so gas can be retained on the surface of the planet if ESCAPE VELOCITY OF GAS is less than ROOT MEAN SQUARE SPEED OF GAS.

so answer is option (1)

Suggest Corrections

Similar questions

Q. The average velocity of molecules of a gas of molecular mass

M

at temperature

T

Q. Planet

A

has mass

M

and radius

R

, planet

B

has mass

M / 3

and radius

3 R

. If escape velocity from planet

A

V_{e}

, then escape velocity from planet

B

will be

Q. If

V_{e}

is the escape velocity of a body from a planet of mass

M

and radius

R

. Then, the velocity of satellite revolving at height

h

from the surface of planet will be

Q. If

V_{e}

is the escape velocity of a body from a planet of mass M and radius R. Then the velocity of the satellite revolving at height h from the surface of the planet will be:

A planet of mass m and radius r is surrounded by an atmosphere of constant density. The atmosphere consists of an ideal gas of molar mass M and its thickness (radial) is h (h << r) from the surface. The temperature of the atmosphere on the surface of the planet is [R = universal gas constant]

Join BYJU'S Learning Program

If T is the absolute temperature of the planet, Ve is the escape velocity from it's surface and R is the universal Gas constant, Then Gas molecular weight M can be retained on the surface of the planet is ? OPTIONS 1)(3RT/M)^1/2 >Ve 2) (3RT/M)^1/2 <Ve 3) 3RT/M =Ve 4) Ve=0

The root mean square speed is given by (3RT/M)^1/2 Where T is the temperature of the planet, R=universal gas constant M=gas molesuler weight so gas can be retained on the surface of the planet if ESCAPE VELOCITY OF GAS is less than ROOT MEAN SQUARE SPEED OF GAS. so answer is option (1)

If T is the absolute temperature of the planet, Ve is the escape velocity from it's surface and R is the universal Gas constant, Then Gas molecular weight M can be retained on the surface of the planet is ?
OPTIONS
1)(3RT/M)^1/2 >Ve 2) (3RT/M)^1/2 <Ve 3) 3RT/M =Ve
4) Ve=0

The root mean square speed is given by (3RT/M)^1/2
Where T is the temperature of the planet,
R=universal gas constant
M=gas molesuler weight
so gas can be retained on the surface of the planet if ESCAPE VELOCITY OF GAS is less than ROOT MEAN SQUARE SPEED OF GAS.

so answer is option (1)