For Brownian motion of particles of suspensions in liquids, answer th

1.	For Brownian motion of particles of suspensions in liquids, answer the following:(a) What should be the typical size of suspended particles? Why should not the size of the particles be too small (say of atomic dimensions 10-10 m) or too large (say the order of 1 m)?(b) Bombardments of the suspended particles by molecules of the liquid are random. We should then expect equal number of molecules hitting a suspended particle from all directions. Why is not the net impact zero.(c) Can the assembly of suspended particles be considered a 'gas' of 'heavy molecules'? If so, what is the temperature of this 'gas' if the temperature of the liquid is T?
Answer» (a) For Brownian motion, the typical size of the suspended particles should be about 10^-6 m to 10^-5 m. If the size of the particle is too small or too large, no Brownian motion takes place. When particle is too small (=10^-10 m) then chances of bombardment of the particle by the molecules of the liquid becomes negligible. On the other hand, when particle is too large (= 1 m) the suspended particle is bombarded equally from all sides and in absence of a net unbalanced force, Brownian motion does not occur. (b) Brownian motion is observed due to fluctuations in the number of molecules actually striking a suspended particle from the average number of molecules striking the particle. (c) Yes, the assembly of suspended particles can be treated as a gas. Since, the suspended particles are in thermal equilibrium with the liquid at temperature T, the temperature of the suspended particles will also be T.

For Brownian motion of particles of suspensions in liquids, answer the following:(a) What should be the typical size of suspended particles? Why should not the size of the particles be too small (say of atomic dimensions 10-10 m) or too large (say the order of 1 m)?(b) Bombardments of the suspended particles by molecules of the liquid are random. We should then expect equal number of molecules hitting a suspended particle from all directions. Why is not the net impact zero.(c) Can the assembly of suspended particles be considered a 'gas' of 'heavy molecules'? If so, what is the temperature of this 'gas' if the temperature of the liquid is T?

Answer»

(a) For Brownian motion, the typical size of the suspended particles should be about 10^-6 m to 10^-5 m. If the size of the particle is too small or too large, no Brownian motion takes place. When particle is too small (=10^-10 m) then chances of bombardment of the particle by the molecules of the liquid becomes negligible. On the other hand, when particle is too large (= 1 m) the suspended particle is bombarded equally from all sides and in absence of a net unbalanced force, Brownian motion does not occur.

(b) Brownian motion is observed due to fluctuations in the number of molecules actually striking a suspended particle from the average number of molecules striking the particle.

(c) Yes, the assembly of suspended particles can be treated as a gas. Since, the suspended particles are in thermal equilibrium with the liquid at temperature T, the temperature of the suspended particles will also be T.

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