calculate the depth of salt water lake,if the pressure at its base is 16 times the atmospheric pressure.the density of salt water lake is 1,050kg m-3 and acceleration due to gravity is 10 ms-2.the atmospheric pressure is 10N cm-2
To calculate the depth of the saltwater lake, you can use the concept of pressure and the equation relating pressure, density, depth, and gravity.
1. Convert the atmospheric pressure from N/cm² to pascals (Pa): Since 1 N/cm² = 10,000 Pa, the atmospheric pressure is 10,000 Pa.
2. Convert the given pressure at the base of the lake from being 16 times atmospheric pressure to an actual pressure in pascals: Multiply the atmospheric pressure (10,000 Pa) by 16, which gives us 160,000 Pa.
3. Divide the pressure at the base of the lake by the density of the saltwater lake to find the depth: Divide 160,000 Pa by 1,050 kg/m³, which gives us approximately 152.38 m.
Therefore, the depth of the saltwater lake is approximately 152.38 meters.