Final answer:
The question examines the increase in the density of water at a depth of 12 km in the ocean, which would be due to the high pressure found at such depth. Options given include percentage increases of 0.6%, 1.2%, 1.5%, and 2.0%. An exact answer would require precise calculations considering depth, pressure, and water compressibility, which are beyond the provided question details.
Step-by-step explanation:
The question relates to the changes in density of water at extreme depths, such as in the deepest parts of the ocean. The density of water is known to increase under high pressure, which exists at depths like those found in Marianas Trench (approximately 11.0 km deep). To calculate the density change, we would use the properties of water and the pressure exerted by the water column above.
As you are asking for the percentage by which the density of water is increased at a depth of around 12 km, without detailed calculations and without real-world data for this specific depth regarding the compressibility of water and how it changes under such extreme pressure, it is difficult to provide an exact figure. Typically, the density increase would be a single-digit percentage increase due to the moderate compressibility of water.
The options provided for the increase in density are: a. 0.6%, b. 1.2%, c. 1.5%, and d. 2.0%. While the exact answer would require precise calculations taking into account the depth, the pressure exerted by the water column, and the compressibility factor (bulk modulus) of water, the question seems to be referencing a theoretical or simplified model where the increase is assumed. Such simplifications are common in educational settings to illustrate the broader concept without the complexity of detailed calculations.