An air bubble of diameter 6 mm rises steadily through a solution of density 1750 kg m^-3 at the rate of 0. 35 cm s^-1. The co-efficient of viscosity of the solution (neglect density of air) is_______…

Question

An air bubble of diameter 6 mm rises steadily through a solution of density 1750 kg m^-3 at the rate of 0. 35 cm s^-1. The co-efficient of viscosity of the solution (neglect density of air) is________Pas (given, g = 10 m s^-2).

Accepted Answer

Correct answer: 10. (10) The bubble is moving with a constant velocity so the net force acting on the body is zero. Stokes' law defines the drag force which is given by F=6 rv The buoyant force is given by B= Vρg= 43 r^3 ρg Hence, it can be written that 43 r^3 ρg=6 rv ⇒ = 2r^2 ρg9v= 2 (3 10^-3)^2 1750 109 0.35 10^-2=10 Pas

$An air bubble of diameter 6 mm rises steadily through a solution of density 1750 kg m^{- 3} at the rate of 0. 35 cm s^{- 1} . The co-efficient of viscosity of the solution (neglect density of air) is________Pas (given, g = 10 m s^{- 2}).$

Solution

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