By what factor is the total pressure greater at a depth of 850 m in water than at the surface where pressure is one atmosphere? (water density = 1.0 ´ 10³ kg/m³,1 atmosphere pressure = 1.01 ´ 10⁵ N/m²,and g = 9.8 m/s²) A)100 B)83 C)74 D)19

Question

Quizplus · Accepted Answer

We can use the formula P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth. 
At the surface, P = 1.01 × 105 Pa (given as one atmosphere). At a depth of 850 m, h = 850 m and we can calculate the pressure as: 
P = (1000 kg/m³) × (9.8 m/s²) × (850 m) = 8.27 × 106 Pa 
Therefore, the factor by which the pressure is greater at a depth of 850 m than at the surface is: 
8.27 × 106 Pa ÷ 1.01 × 105 Pa ≈ 83.

By What Factor Is the Total Pressure Greater at a Depth