Question 299: Thermodynamics & KTG

Question

At 300 K, the rms speed of oxygen molecules is $$\sqrt {{{\alpha  + 5} \over \alpha }} $$ times to that of its average speed in the gas. Then, the value of $$\alpha$$ will be
(used $$\pi  = {{22} \over 7}$$)

Accepted Answer

$${v_{rms}} = \sqrt {{{\alpha  + 5} \over \alpha }} {v_{avg}}$$
$$\sqrt {{{3RT} \over m}}  = \sqrt {{{\alpha  + 5} \over 5}} \sqrt {{{8RT} \over {\pi m}}} $$
$${{3 	imes \pi } \over 8} = {{\alpha  + 5} \over \alpha }$$
$${{33} \over {28}} = {{\alpha  + 5} \over \alpha }$$
$$\alpha  = 28$$

Answer

27

Answer

28

Answer

24

Answer

32

Thermodynamics & KTG

At 300 K, the rms speed of oxygen molecules is $\sqrt {{{\alpha + 5} \over \alpha }} times to that of its average speed in the gas. Then, the value of \alpha will be (used \pi = {{22} \over 7}$)

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