An interesting question in marine biology is how some organisms can survive the pressures encountered in the deep ocean. A possible explanation is that these organisms contain higher concentrations of low molecular weight compounds (for example urea) in the deep sea than at the surface, and these compounds in the fluids of the organism result in an osmotic pressure that partially offsets the increase in hydrostatic pressure. Such compounds are referred to as osmolytes. It has been found that shrimp contain about 70 mmol/kg of these osmolytes in surface waters and 300 mmol/kg at 3 km under the sea. You can assume that as caught, shrimp have a density of 1200 kg/m³, their dry weight is only 10% of their wet weight, and their fluids also contain 0.9 wt % sodium chloride.

a. Given that seawater contains 0.9 wt % sodium chloride and the average seawater density is 1030 kg/m³, determine whether the osmotic pressure produced compensates for the hydrostatic pressure. 

b. The osmolytes also serve as cryoprotectants, that is they lower the freezing point of the body fluids, thereby preventing cell damage. Estimate the freezing point of the body fluids of shrimp found at sea level, and those found at 3 km deep in the ocean.