Question

The r.m.s Velocity of hydrogen is √7 times the r.m.s velocity
of nitrogen. If T is the temperature of the gas , than
(a) T(H₂ ) = T (N₂) (b) T(H₂ ) > T (N₂)
(c) T(H₂ ) < T (N₂) (d) T(H₂ ) = √7T (N₂ )

Answer 1

The temperature of nitrogen gas is greater than the temperature for hydrogen gas.

Option (c) is correct.

Explanation:

U(rms) H2 = √  3RT1 / 2

U(rms) N2 = √3RT2 / 28

U(rms) H2  = √7 × Urms N2

Or √3RT1 / 2 = √7 × √3RT2 / 28

T1 / 2 = T2 / 4

T2 = 2T1

TN2>TH2

Thus the temperature of nitrogen gas is greater than the temperature for hydrogen gas.

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