Final answer:
The pressure due to a water column at the depth of 0.53 km is calculated using the formula P = ρgh, resulting in a pressure of 5300 kPa.
Step-by-step explanation:
The formula to calculate the pressure at a certain depth in a fluid is P = ρgh, where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid column. Here, ρ is the density of water (1 g/cm³ or 1000 kg/m³), g is given as 10 m/s², and h is the depth of the water column (0.53 km or 530 m).
First, we convert the density of water into SI units, which is 1 g/cm³ = 1000 kg/m³. Then, we substitute these values into the formula:
P = (1000 kg/m³) × (10 m/s²) × (530 m)
P = 5.3 × 10^6 Pa or 5300 kPa.
Therefore, the pressure due to a water column at the depth of 0.53 km is 5300 kPa.