alpha v and u represent most probable velocity average

$$\alpha ,v$$ and $$u$$ represent most probable velocity, average velocity and root mean square velocity respectively of a gas at a particular temperature. The correct order among the following is

A. $$u > v > \alpha $$

B. $$v > u > \alpha $$

C. $$\alpha > u > v$$

D. $$u > \alpha > v$$

Answer : $$u > v > \alpha $$

Solution :
$$\eqalign{ & u:v:\alpha = \sqrt {\frac{{3RT}}{M}} :\sqrt {\frac{{8RT}}{{\pi M}}} :\sqrt {\frac{{2RT}}{M}} \cr & = \sqrt 3 :\sqrt {\frac{8}{\pi }} :\sqrt 2 \cr} $$

Releted MCQ Question on
Physical Chemistry >> States of Matter Solid, Liquid and Gas

Releted Question 1

Equal weights of methane and oxygen are mixed in an empty container at $${25^ \circ }C.$$ The fraction of the total pressure exerted by oxygen is

A. $$\frac{1}{3}$$

B. $$\frac{1}{2}$$

C. $$\frac{2}{3}$$

D. $$\frac{1}{3} \times \frac{{273}}{{298}}$$

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Releted Question 2

The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is

A. Critical temperature

B. Boyle temperature

C. Inversion temperature

D. Reduced temperature

View Answer

Releted Question 3

The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is

A. 1.086 : 1

B. 1 : 1.086

C. 2 : 1.086

D. 1.086 : 2

View Answer

Releted Question 4

Helium atom is two times heavier than a hydrogen molecule. At $$298 K,$$ the average kinetic energy of a helium atom is

A. two times that of a hydrogen molecule.

B. same as that of a hydrogen molecule.

C. four times that of a hydrogen molecule.

D. half that of a hydrogen molecule.

View Answer

$$\alpha ,v$$ and $$u$$ represent most probable velocity, average velocity and root mean square velocity respectively of a gas at a particular temperature. The correct order among the following is

Releted MCQ Question on
Physical Chemistry >> States of Matter Solid, Liquid and Gas

Equal weights of methane and oxygen are mixed in an empty container at $${25^ \circ }C.$$ The fraction of the total pressure exerted by oxygen is

The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is

The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is

Helium atom is two times heavier than a hydrogen molecule. At $$298 K,$$ the average kinetic energy of a helium atom is

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States of Matter Solid, Liquid and Gas

Practice More MCQ Question on Chemistry Section

$$\alpha ,v$$ and $$u$$ represent most probable velocity, average velocity and root mean square velocity respectively of a gas at a particular temperature. The correct order among the following is

Releted MCQ Question on Physical Chemistry >> States of Matter Solid, Liquid and Gas

Equal weights of methane and oxygen are mixed in an empty container at $${25^ \circ }C.$$ The fraction of the total pressure exerted by oxygen is

The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is

The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is

Helium atom is two times heavier than a hydrogen molecule. At $$298 K,$$ the average kinetic energy of a helium atom is

Practice More Releted MCQ Question on States of Matter Solid, Liquid and Gas

Practice More MCQ Question on Chemistry Section

Releted MCQ Question on
Physical Chemistry >> States of Matter Solid, Liquid and Gas

Practice More Releted MCQ Question on
States of Matter Solid, Liquid and Gas