A new mixer design for use in a chemical process plant is to be modelled using water at a temperature of $20$oC $.$ The model is to be at $1$:$2$ scale. The full scale device will handle a chemical solution which has a density of $846$kgm$-3$ and a kinematic viscosity of $4$x$10-6$m$2/$s$.$ The flow rate of water in the model is chosen so that the model behaviour is dynamically similar to a flow rate of $0\mathrm{.}3$m$3$s$-1$ of chemical solution in the full scale device.

If the pressure drop through the model mixer is $14$kPa, what will be the corresponding pressure drop $($in kPa$)$ in the full scale prototype? $($the kinematic viscosity of water is $1\mathrm{.}12$x$10-6$ m$2/$s; give your answer in kPa$)$