States of Matter - Result Question 22

####22. The rms velocity of hydrogen is 7 times the rms velocity of nitrogen. If T is the temperature of the gas

(2000, 1M)

(a) T(H2)=T(N2)

(b) T(H2)>T(N2)

(c) T(H2)<T(N2)

(d) T(H2)=7T(N2)

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Solution:

  1. Root mean square speed urms=3RTM

urms(H2)urms(N2)=7=T(H2)2×28T(N2)

7=14T(H2)T(N2) T(N2)=2T(H2) i.e. T(H2)<T(N2)



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