The skin is the organ that removes sweat.
How the Skin Removes Sweat
Sweat is produced by sweat glands located within the skin. These glands are distributed across the body's surface, with higher concentrations in areas like the palms, soles, and underarms. Sweat travels through ducts and is released onto the skin's surface through pores. The evaporation of sweat helps regulate body temperature.
Reference: ▶Skin is the organ that removes impurities from the body in the form of sweat... ▶Skin contains many number of sweat glands that excrete the impurities through the Pores present on the skin...06-Apr-2018
While the liver and kidneys play vital roles in removing toxins and waste products from the body, they do not directly remove sweat. Sweat is a unique process of thermoregulation and waste excretion involving the skin specifically.
Reference: Your liver and kidneys are responsible for most of the “cleansing” you need to stay healthy. These organs remove toxins and waste from your body… https://my.clevelandclinic.org/health/body/sweat
The process of sweat removal is a crucial part of the body's thermoregulatory system, helping to maintain a stable internal temperature. When the body overheats, sweat evaporates, cooling the skin.
Reference: If the body becomes too hot, water is lost through sweat and the evaporation of this sweat from the skin surface removes heat from the body. https://www.wku.edu/news/articles//index.php?view=article&articleid=2330
Although sweat contains some waste products, its primary function is thermoregulation, not detoxification. The belief that sweat removes significant toxins is largely exaggerated.
Reference: The belief that sweat removes significant levels of toxins from the body is often exaggerated because most of sweat is made up of water. https://www.canr.msu.edu/news/is-sweating-good-for-you