Final answer:
The gauge pressure at the bottom of a storage tank 24 m high filled with gasoline is 164,376 Pa, calculated using the density of gasoline, acceleration due to gravity, and the height of the tank.
Step-by-step explanation:
The question relates to calculating the gauge pressure at the bottom of a storage tank filled with gasoline. Gauge pressure is the pressure relative to the atmospheric pressure, and in a liquid, it can be calculated using the formula P = ρgh, where ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height of the liquid above the point of measurement.
Let's assume the density of gasoline is approximately 700 kg/m³ (this is a common value, but it might vary slightly depending on composition and temperature). Using the formula P = ρgh and substituting ρ with 700 kg/m³, g with 9.81 m/s² (acceleration due to gravity), and h with 24 m (height of the gasoline), we can calculate the gauge pressure at the bottom of the tank.
P = 700 kg/m³ * 9.81 m/s² * 24 m = 164,376 Pa (Pascal)
Therefore, the gauge pressure at the bottom of the tank is 164,376 Pa.