Final answer:
The depth at which the absolute pressure is twice the atmospheric pressure of 1.03×105 Pa is approximately 10.51 meters below the surface of the water.
Step-by-step explanation:
To determine at what depth below the surface of the water the absolute pressure is twice the atmospheric pressure, you can apply the concept of hydrostatic pressure in fluids. The atmospheric pressure at the surface of the water is given as 1.03×105 Pa. When the absolute pressure is twice this amount, it means the pressure due to the water above that point must be equal to the atmospheric pressure, because atmospheric pressure is already being exerted at the surface.
The hydrostatic pressure, which is the pressure due to the weight of the water, can be calculated using the formula:
P water = ρgh
Where ρ is the density of water (approximately 1000 kg/m3), g is acceleration due to gravity (9.8 m/s2), and h is the depth of the water in meters.
Substituting the given pressure for Pwater and solving for h, we get:
h = ρgh = 1.03×105 Pa / (1000 kg/m3 × 9.8 m/s2)
h ≈ 10.51 m
This means the depth at which the absolute pressure is twice the atmospheric pressure is approximately 10.51 meters below the surface of the water.