• # question_answer By what factor does the average velocity of a gaseous molecule increase when the absolute temperature is doubled? A)   1.4                            B)  2.0C)  2.8                             D)  4.0

Solution :

Average velocity of a gaseous molecule $=\sqrt{\frac{8RT}{\pi M}}$ If the absolute temperature is doubled, then new Average velocity becomes $\sqrt{\frac{8R.2T}{\pi M}}$ New average velocity $=\sqrt{2}.\sqrt{\frac{8RT}{\pi M}}$ New average velocity $=1.4\times$Original average velocity. Hence, the correct option is [a].

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