Final answer:
The total pressure at a depth of 200 meters in seawater, including atmospheric pressure, is calculated using the formula P = ρgh + Patm, resulting in 2110.3 kPa.
Step-by-step explanation:
The pressure in kPa at a depth of 200 meters below seawater can be calculated using the formula P = ρgh, where P is the pressure, ρ is the density of the seawater (approximately 1025 kg/m³), g is the acceleration due to gravity (9.8 m/s²), and h is the depth in meters. Additionally, the atmospheric pressure at the sea level is generally taken as 101.3 kPa and needs to be added to the calculated pressure due to the water column.
Therefore, the formula to calculate the total pressure would be P = (ρgh) + Patm. Plugging in the numbers: P = (1025 kg/m³)(9.8 m/s²)(200 m) + 101.3 kPa. To get the pressure in kPa, we need to divide the result of ρgh by 1000 (since 1 Pa = 1 kg/(m·s²) and 1 kPa = 1000 Pa).
The pressure due to the water column would be (1025)(9.8)(200) / 1000 = 2009 kPa, and the total pressure at 200 meters depth including atmospheric pressure would be 2009 kPa + 101.3 kPa = 2110.3 kPa.