Question

Q.2
The RMS velocity of the Molecules of gas is 1260 m/s The Average speed of the Molecules is :-
(i) 1029 m/s
(ii) 1161 m/s
(iii) 1671 m/s
(iv) 917 m/s​

Answer 1

Answer:

option d is right 917 m/s

Answer 2

Answer:

The RMS velocity of the molecules of gas is 1260 m/s .The Average speed of the molecule is 1161m/s (option-iii).

Explanation:

To Find: The average speed of the molecules.

Given: Root mean square speed V rms=1260m/s

The root mean square velocity is the value which is the square root of sum of the squares of the velocity divided by number of values.

It use to determine the single velocity of a particular thing which can be a particle .

Here , Average velocity of gas is calculated by using the root mean square velocity : V rms=(3RT/M)^1/2

Suppose average speed of molecule is =Vav

 R= ideal gas constant =8.314 K .mol

It is known that,

V rms =(3RT/M)^1/2

Vav =(8RT/3.14×M)

So, V av/V rms =$\sqrt{8/\pi } /\sqrt{3/8}$

      ⇒Vav/1260=$\sqrt{8/3\pi }$

Vav =1260×$\sqrt{8/3\pi }$

      =1161m/s

The average speed of molecule is 1161 m/s (option-iii).

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