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  • Identify the correct labels A. B and C in the following graph from the options given below: Root mean square speed <img alt

Identify the correct labels A. B and C in the following graph from the options given below: Root mean square speed (V_{rms}) ; most probable speed (V_{mp}), Average speed (V_{av})
Option: 1 A -  (V_{mp}), B-   (V_{av}), C- (V_{rms}) 
Option: 2 A -  (V_{mp}), B-  (V_{rms}) , C- (V_{rms}) 
Option: 3 A -    (V_{av}), B- (V_{rms}) ,C-   (V_{av})
Option: 4 A - (V_{rms}) ,B-  (V_{mp}), C-   (V_{av})
 

Answers (1)

best_answer

Relation between uav, ump and  urms
The three types of molecular speeds, namely, most probable speed(vmp), average speed (vav) and root mean square speed(vrms) of a gas at a given temperature are related to each other as follows:
\begin{array}{l}{v_{m p} : v_{a v} : v_{m s}=\sqrt{\frac{2 R T}{M}} : \sqrt{\frac{8 R T}{\pi M}} : \sqrt{\frac{3 R T}{M}}} \\ {v_{m p} : v_{a v} : v_{r m s}=1.414 : 1.596 : 1.732} \\ {v_{m p} : v_{a v} : v_{r m s}=1 : 1.128 : 1.224}\end{array}

For a particular gas, at a particular temperature:
vmp < vav < vrms

It follows from the above relationship that:
Average speed(vav) =0.921 x Root mean square speed(vrms)
Most probable speed(vmp) = 0.817 x Root mean square speed(vrms)

CRMS > CAverage > CMPS.

A - VMPS, B - VAverage , C - VRMS

Therefore, Option(1) is correct.

Posted by

Ritika Jonwal

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