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A gas bubble (gas density $\rho_{g} =2\:kg/m^{3}$ ; bubble diameter $D=10^{-4}\:m$ is rising vertically through water (density $\rho =1000\:kg/m^{3}$; viscosity $\mu =0.001$ $Pa.\:s$). Force balance on the bubble leads to the following equation

$$\frac{dv}{dt}=-g\frac{\rho _{g}-\rho }{\rho _{g}}-\frac{18\mu }{\rho _{g}D^{2}}v$$

where $v$ is the velocity of the bubble at any given time $t$. Assume that the volume of the rising bubble does not change. The value of $g=9.81\:m/s^{2}$.

The terminal rising velocity of the bubble (in $cm/s$), rounded to $2$ decimal places, is ___________ $cm/s$.
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