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Grade: upto college level
         The rms velocity of hydrogen is √7 times t5he rms velocity of nitrogen. If T is the temperature of the gas

a. T(H2) = T(N2)
b. T(H2) > T(N2)
c. T(H2) < T(N2)
d. T(H2) = √7 T(N2)
5 years ago

Answers : (1)

Jitender Pal
askIITians Faculty
365 Points
							Sol. Root mean square speed Urms = √(3RT/M)
⇒ (u_rms 〖(H〗_2) )/(u_rms (N_2 ) )  =√7  =  √((〖T (H〗_1) )/2   × 28/(T (N_2)))
⇒  7 =  (14T  〖(H〗_2) )/(T (N_2 ) )
⇒ T (N2) = 2T (H2), ie, T (H2) < T (N2)

						
5 years ago
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