The rms speed of hydrogen molecule at a certain temperature is v . If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the rms speed will become

Question

The rms speed of hydrogen molecule at a certain temperature is v . If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the rms speed will become, v, v 2, 2 v, 2 v

MARKS App · Accepted Answer

Let the molar mass of H 2 is M . Hydrogen gas is dissociated into atomic hydrogen. It molar mass is equal to M 2 . v r m s = 3 R T M v 1 v 2 = T 1 M O 1 × M O 2 T 2 T 2 = 2 T 1 a n d M O 2 = M O 1 2 = M 2 ⇒ v 1 v 2 = T 1 M . M / 2 2 T 1 = 1 4 v 2 = 2 v 1 = 2 v

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