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General Answer: An increase in salinity causes a increase in density and conversely, a decrease in salinity causes a decrease in density. The effect is quite linear, though it has a temperature dependence that affects how much the density changes. Specific Answer:
Good question and the answer lies in a very peculiar property of water. As you guessed, the density of water of water increases as the temperature is lowered, but below 4 o C this trend is reversed. Here is a graph from. It shows the density of liquid water vs. temperature.