In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is (about 1.15 × 10³atm).

(a) If a cubic meter of water is taken from the surface to this depth, what is the change in its volume? (Normal atmospheric pressure is about 1.0 × 10⁵ Pa. Assume that k for seawater is the same as the freshwater value given in Table 11.2.) 

(b) What is the density of seawater at this depth? (At the surface, seawater has a density of 1.03 × 103 kg/m³.)

Table 11.2: Compressibilities of Liquids

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Compressibility, k Liquid Pa- atm-! Carbon disulfide 93 x 10-1 94 x 10-6 Ethyl alcohol 110 x 10-11 111 x 10-6 Glycerine 21 x 10-11 21 x 10-6 Mercury 3.7 x 10-11 3.8 x 10-6 Water 45.8 x 10-11 46.4 x 10-6