Final answer:
The pressure at a depth of 100 m in saltwater, with a corrected density of approximately 1030 kg/m³, calculates to 1010.3 kPa. Adding atmospheric pressure, the total pressure is 1111.6 kPa. This calculation assumes water's incompressibility according to Pascal's Principle.
Step-by-step explanation:
The pressure at a depth of 100 m in saltwater can be calculated using the formula P = hρg, where P is pressure, h is the depth, ρ (rho) is the density of the fluid, and g is the acceleration due to gravity.
However, there appears to be a typo in the question since the density of saltwater is not 10³⁰ kg/m³ but approximately 1030 kg/m³. Assuming a standard acceleration due to gravity of 9.81 m/s², the correct formula for pressure at a depth of 100 m in saltwater would be P = (100 m) × (1030 kg/m³) × (9.81 m/s²).
Calculating this gives us P = 1,010,300 Pa or 1010.3 kPa. Additionally, we also consider atmospheric pressure at the surface, which is approximately 101.3 kPa. So, the total pressure at that depth would be the sum of the pressure due to the water column and the atmospheric pressure: 1010.3 kPa + 101.3 kPa = 1111.6 kPa.
It's important to note that according to Pascal's Principle, fluid pressures always add in this way, and because water is nearly incompressible, we can neglect any change in its density over the depth of 100 m.