For ensuring proper sanitation in a 3-compartment sink that utilizes hot water for sanitizing, it is crucial to reach the correct temperature to effectively kill bacteria and ensure cleanliness. Here is the detailed information for each option:
1. [tex]$171^{\circ} F$[/tex]: This option represents a temperature that is generally accepted as the standard for hot water sanitization in a 3-compartment sink. This temperature ensures the destruction of pathogens and bacteria, ensuring sanitized utensils and kitchen equipment.
2. [tex]$135^{\circ} F$[/tex]: While this temperature might be appropriate for washing or cleaning purposes, it falls short of the necessary heat required to sanitize and effectively kill most bacteria and pathogens.
3. [tex]$93^{\circ} F$[/tex]: This temperature is significantly lower than what is needed for sanitization and would not properly disinfect kitchen items.
4. [tex]$180^{\circ} F$[/tex]: Although higher temperatures ensure sanitation, [tex]$180^{\circ} F$[/tex] might be unnecessarily high, wasting energy and possibly being impractical or unsafe to handle.
Considering the standards and practices for sanitizing in a 3-compartment sink, the correct temperature for the water should be:
[tex]\[
\boxed{171^{\circ}F}
\][/tex]
Therefore, the appropriate choice for sanitizing in a 3-compartment sink using hot water is [tex]$171^{\circ} F$[/tex].
