CameraIcon

SearchIcon

MyQuestionIcon

165

You visited us 165 times! Enjoying our articles? Unlock Full Access!

Equipartition Theorem

Calculate the...

Question

Calculate the ratio of average velocity of helium atom at $27^{o} C$ and methane molecule at $127^{o} C$ .

Open in App

Solution

We know,
$U_{a v g} = \sqrt{\frac{8 R T}{π M}}$
So,
$\frac{U_{a v g} (H e)}{U_{a v g} (C H_{4})} = \sqrt{\frac{T_{H e} \times M_{C H_{4}}}{T_{C H_{4}} \times M_{H e}}}$
$M_{H e} = 4$ , $M_{C H_{4}} = 16$
Hence,
$\frac{U_{a v g} (H e)}{U_{a v g} (C H_{4})} = \sqrt{3}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The ratio of average speed of

C H_{4}

27^{o} C

S O_{2}

127^{o} C

Q. Find the ratio of

d e B r o g l i e

wavelength of molecules of hydrogen and helium which are at temperature

27^{o} C

127^{o} C

Q. The ratio of de-Broglie wavelengths of molecules of hydrogen and helium Which are at temperature

27^{o} C

127^{o} C

respectively is

Q. Helium atom is 2 times heavier than hydrogen molecule. At

15^{0} C

the average kinetic energy of helium atom is:

Q. At constant pressure, a sample of helium gas has a volume of 800 ml at

27^{o} C

. Calculate the percentage increase in volume, if the temperature is

127^{o} C

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Theory of Equipartitions of Energy

PHYSICS

Watch in App

explore_more_icon

Explore more

Equipartition Theorem

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon