Question

For water at the room temperature, the velocity of a molecule of food color is about...

For water at the room temperature, the velocity of a molecule of food color is about 0.8x104 cm/s and the mean free path is on the order of 10-8 cm.  Calculate the time required to displace this molecule by 0.75x10-3 cm. Assume that the diffusion is independent of the mass of this molecule. Notation: 10^n is equivalent to 10n

0.005 s

0.08 s

0.01 s

0.007 s

10 x 10^-3 s

6 s

10000 s

0.7 s

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Answer #1

Since displacement is related to diffsion constant and time by :

Therefore

Therefore time take is :

Thus

(fourth option is correct)

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