1.

With what terminal velocity will an air bubble `0.8 mm` in diameter rise in a liquid of viscosity `0.15 N-s//m^(2)` and specific gravity `0.9`? Density of air is `1.293 kg//m^(3)`.

Answer» Correct Answer - A::B::C
The terminal velocity of the bubble is given by,
`v_(T)=(2)/(9) (r^(2)(rho-sigma)g)/(eta)`
Here, `r=0.4xx10^(-3)m, sigma =0.9xx10^(3)kg//m^(3), rho=1.293 kg//m^(3), eta=0.15 N-s//m^(2)`
and `g=9.8m//s^(2)`
Substituting the values, we have
`v_(T)=(2)/(9)xx ((0.4 xx 10^(-3))^(2)(1.293-0.9 xx 10^(3))xx9.8)/(0.15)`
`= - 0.0021 m//s`
or `v_(T) =- 0.21 cm`


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