Various species of hagfish, or slime eels, live on the ocean floor, where they burrow inside other fish, eating them from the inside out and secreting copious amounts of slime. Their skins are widely used to make eelskin wallets and accessories. Suppose a hagfish is caught in a trap at a depth of 200 m below the ocean surface, where the water temperature is 10°C, then brought to the surface where the temperature is 15°C. If the isothermal compressibility and volume expansivity are assumed constant and equal to the values for water, (β =  10⁻⁴ K⁻¹ and κ = 4.8 ×  10⁻⁵ bar⁻¹) what is the fractional change in the volume of the hagfish when it is brought to the surface?

Table 3.2 provides the specific volume, isothermal compressibility, and volume expansivity of several liquids at 20°C and 1 bar25 for use in Problems 3.13 to 3.15, where β and κ may be assumed constant.

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Table 3.2: Volumetric Properties of Liquids at 20°C Specific Volume VL-kg- Isothermal Volume Compressibility K/10-5 bar! Molecular Expansivity Br10-3.°C-i Formula Chemical Name CH,O2 CH,N CS2 CHSCI CH12 CẠH 100 CH5OH C,H&O2 C3H10 CH;OH CCI4 C;Hs CHCI3 0.951 0.976 Acetic Acid 9.08 1.08 Aniline 4.53 0.81 Carbon Disulfide 0.792 0.904 9.38 1.12 0.94 Chlorobenzene 7.45 Cyclohexane Diethyl Ether Ethanol 1.285 11.3 1.15 1.401 18.65 1.65 1.265 1.110 11.19 1.40 1.35 Ethyl Acetate т-Хylene Methanol 11.32 1.157 8.46 0.99 1.49 1.14 1.262 12.14 Tetrachloromethane 0.628 10.5 Toluene 1.154 1.05 8.96 9.96 Trichloromethane 0.672 1.21