$($d$)$ The plant is designed such that the inlet air stream used in the heat exchanger is the outlet stream from an adiabatic saturator. The cooling air is first cooled to $50C$ in an adiabatic saturator $($despite its name, the air exiting an adiabatic saturator need not be saturated$).$ The Occupational Health and Safety Administration $($OSHA$)$ recommends that workers may work in environments where they may be exposed to humidity in the range of $20\%-60\%($minimum and maximum limits$).$ If you were to strictly follow OSHA guidelines, what is the maximum allowable temperature of the inlet sir stream to the adiabatic saturator $($i$.$e$.,$ the entering air's humidity is at least $20\%)?$ If you were to strictly follow OSHA guidelines, what is the minimum allowable temperature of the inlet sir stream to the adiabatic saturator $($i$.$e$.,$ the entering air's humidity is at $60\%?$

$($e$)$ You are asked to design a similar system for a plant located in the country of Sokovia, The Sokgvian Occupational Health and Safety Administration $($SOSHA$)$ does not regulate workplace humidity. What is the maximum temperature of the inlet sir stream to the adiabatic saturator based on constraints of physics $($i$.$e$.,$ you cannot have negative humidity$)?$

$($f$)$ List one of the potential health consequences to plant workers because of the difference in regulatory frameworks in the USA and Sokgvia in this case. What could be a related economic and social consequence to Sokgvian society as a whole? Can you suggest a way to improve the safety culture of Sokgvia?