Question

A pool is filled with water and the pool has a maximum depth of 100 m. If the atmospheric pressure is 101 kPa, the absolute pressure at 100 m depth of the pool is:

• A. 900 kPa
• B. 1082 kPa
• C. 678 kPa
• D. 881 kPa

Hint:

To calculate the absolute pressure at a given depth, use the hydrostatic pressure formula, considering both the atmospheric pressure and the weight of the fluid above.

Answer 1

The Correct Option is B

The absolute pressure at a depth is given by the formula: \[ P = P_{\text{atm}} + \rho g h \] Where: - \( P_{\text{atm}} = 101 \, \text{kPa} \) (atmospheric pressure) - \( \rho = 1000 \, \text{kg/m}^3 \) (density of water) - \( g = 9.81 \, \text{m/s}^2 \) (acceleration due to gravity) - \( h = 100 \, \text{m} \) (depth) Substituting the values: \[ P = 101 + (1000 \times 9.81 \times 100) \times 10^{-3} = 101 + 981 = 1082 \, \text{kPa} \]