The water in a lake is at 5 °C. A diver measures the pressure of the water at two different depths in the lake. He repeats the measurements on a different day when the water is at 15°C. The density of the water decreases when its temperature increases. Which combination of depth and temperature produces the greatest water pressure?

Question

Physics

Wise

11 July, 16:05

The water in a lake is at 5 °C. A diver measures the pressure of the water at two different depths in the lake. He repeats the measurements on a different day when the water is at 15°C. The density of the water decreases when its temperature increases. Which combination of depth and temperature produces the greatest water pressure?

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Answers (1)

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Sparky · Answer 1

The combination of depth at 10 m and the temperature of 15 °C will produce the greatest water pressure.

Explanation:

The pressure in any liquid is directly proportional to the depth of the water body. This is because, the more the depth, the more the buoyant force will be acting on the liquid surface. So if the water is kept constant at 15 °C, the volume is said to increase with increase in temperature as volume is directly proportional to the temperature. The same goes for pressure, the pressure of liquid increases with increase in temperature. So the combination of depth at 10 m and the temperature of 15 °C will produce the greatest water pressure.