Answer:
The depth of the fluid is: 3.208m
Explanation:
The pressure inside a fluid at rest is obtained with the following equation:
P= fluid density × acceleration of gravity × fluid column height
The pressure at the base of the container only due to the column of the fluid will be the pressure at the base of the container minus the atmospheric pressure:
P= 127KPa - 101KPa= 26KPa= 26000 (kg/(m×s²))
The pressure at the base of the vessel due to the height of the fluid column will be:
P= 26000 (kg/(m×s²)) = 826 (kg/m³) × 9.81 (m/s²) × hight
Therefore, clearing the height of the fluid shaft, the height of the container is obtained which will be:
Fluid column heigh= 26000(kg/(m×s²)) × (1/826) (m³/kg) × (1/9.81) (m/s²)
Fluid column heigh= 3.208m
