Which more pressure formula of a lake 7 meters deep or the bottom of the river 2 meters shallower than the lake but hold greater volume of water?

Answer 1

Pressure depends on fluid depth, density, g, and surface pressure; not upon the volume.

P at depth x = P0 + ( x ) ( density ) ( g )

For P0 = 101000 Pa and d = 1025 kg per m^3 :

P lake = ( 101000 N/m^2 ) + ( 7 m ) ( 1025 kg/m^3 ) ( 9.807 m/s^2 )

P lake = ( 101000 N/m^2 ) + ( 70365 N/m^2 ) = 171365 N/m^2 = 171365 Pa <------

P river = ( 101000 N/m^2 ) + ( 5 m ) ( 1025 kg/m^3 ) ( 9.807 m/s^2 )

P river = ( 101000 N/m^2 ) + ( 50261 N/m^2 ) = 151261 N/m^2 = 151261 Pa <-----

Answer 2

The pressure at the bottom of the lake would be higher due to its greater depth. Pressure in a fluid increases with depth, so a deeper lake will have more pressure at its bottom compared to a shallower river with a greater volume of water.

Answer 3

Water pressure only depends on the depth, not the size of the lake or pond. Even the water pressure in a tall tin can will be the same one meter down as in a lake or pond, one meter down.

Answer 4

Pressure depends on the depth so the lake.