How Do You Determine the Height H of a Water Jet from a Tank?

[John31]

Homework Statement

Water at 20C in a tank at a height of 85cm and 75kPa gage flows out and creates a vertical jet determine the height,H, to which the jet rises

Homework Equations

Bernoulli

P1+.5*rho*v1^2+g*rho*H= P2 + .5*rho*v2^2 +g*rho*.85

The Attempt at a Solution

My assumtions
P1= 0 gage pressure
v2=0 since the volume of the tank can be considerably larger than outlet hole.

However I am not given a diameter of the outlet hole so I can not use a conservation of mass equation to find the exit velocity of the jet to find the height H. So the Bernoulli equation is left with 2 unknowns. any suggestions?

 

[edgepflow]

Can you just determine v2 from the Bernoulli equation ?