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Q.

Given are the following four containers.

(I) H2(g)

(II) He(g)

(III) N2(g)

(IV) O2(g)

Each container contains the same mass of the indicated gas at the same T ( = 300 K). Based on this information, answer the questions given below.

If the temperature of the container IV is changed so as to have root mean square speed of its gaseous molecules identical to that of gaseous molecules in container III, the temperature of the gas in container IV should be increased/decreased to

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a

100 K

b

202 K

c

343 K

d

456 K

answer is C.

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Detailed Solution

3RT/32gmol1 =3R(300K)/28gmol1 

This gives

 T=(300×32/28)K T=343K

A number of atoms are bound together to form gas molecules. These inter atomic connections act as springs to unite atoms of different masses. The natural frequency is a constant vibration frequency that this connection vibrates at.

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