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Explain Bot To determine the depth in seawater at which the gauge pressure is 1.0 x 10^5 Pa, we can use the concept of hydrostatic pressure.
The hydrostatic pressure in a fluid is given by the equation:
P = ρgh
Where:
- P is the pressure at a certain depth
- ρ is the density of the fluid
- g is the acceleration due to gravity
- h is the depth of the fluid
First, let's determine the density of seawater. The density of seawater can vary depending on factors like salinity and temperature but is typically around 1025 kg/m^3.
Next, we need to determine the acceleration due to gravity. The average value of g on Earth is approximately 9.8 m/s^2.
Now, we can rearrange the equation to solve for depth:
h = P / (ρg)
Substituting the given values:
h = 1.0 x 10^5 Pa / (1025 kg/m^3 * 9.8 m/s^2)
Calculating this expression will give us the depth in meters at which the gauge pressure is 1.0 x 10^5 Pa.