Final answer:
To determine the height to which the jet rises, we can use Bernoulli's equation, which is P + (1/2)ρv^2 + ρgh = constant. By plugging in the given values and solving for the height H, we can find the answer.
Step-by-step explanation:
In order to determine the height to which the jet rises, we can use Bernoulli's equation, which states that the pressure at the bottom of the tank plus the kinetic energy per unit volume is equal to the pressure at the top of the jet plus the potential energy per unit volume.
The equation for Bernoulli's equation is:
P + (1/2)ρv^2 + ρgh = constant
Where P is the pressure, ρ is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height of the fluid column.
In this case, the pressure at the bottom of the tank is equal to the pressure of the air, which is given as 115 kPa. The velocity of the fluid can be calculated using the flow rate, and the density of the fluid is given as 998 kg/m^3.
Using the equation and the given values, we can solve for the height H to which the jet rises.