An electrostatic precipitator $($ESP$)$ is being used to clean fly ash from a gas. The precipitator contains $30$ ducts, with plates $12$ ft high and $12$ ft long. The spacing between the plates is $8$ in$.$ The gas is evenly distributed through all of the ducts. The following information can be used: Gas volumetric flowrate $=40,000$ ft$3/$min$.$ Particle drift velocity $=0\mathrm{.}40$ ft$/$s Use the Deutsch$-$Anderson equation to calculate the efficiency of the precipitator. Also, use the modified Deutsch equation with a range of exponents varying from $0\mathrm{.}4$ to $0\mathrm{.}7($in increments of $0\mathrm{.}05)$ to calculate the efficiency of the electrostatic precipitator. Deutsch$-$Anderson equation states that E$=1-$ e$-($wA$/$q$)$ w representing the effective migration or drift velocity.