Task $1$: Electrostatic precipitators $(4$P$)$

a$)95\%$ of the particles of an aerosol are removed by an electrostatic precipitator which is

operated at an electric field strength in the inter electrode space of $450k\frac{V}{m}.$ The clean

gas concentration is $8m\frac{g}{m^3}.$ The plant operator knows that the field strength can be

increased to $600k\frac{V}{m}.$ Could this electrostatic precipitator still be used if legal the dust

concentration limit in the clean gas is reduced to $2m\frac{g}{m^3}?$ Calculate the clean gas

concentration under the assumption that the particle charge is given by the particles

field charge limit$.$