Question

Pressure/Depth Equation Analysis question below

Answer 1

This question should have been posted under physics or engineering.
Here's the hints for the answer anyway.
Hints:
We know that \(p(h)=p_0+\rho gh\)
Make a list of the variables (and constants) for each case, and the answer will pop up like magic.

Answer 2

@hardequalsmath
Have you given it a try?

Answer 3

yeah, with my study group, we cannot agree on an answer...

Answer 4

What do \(you\) think?

Answer 5

i honestly dont agree with anything they are saying, I think they are making it too complicated. I know p,g, and h are all constant for each equation, but i am stuck after that..

Answer 6

If they are all constant, doesn't p(h) evaluate to the same number?

Answer 7

but not for Po.

Answer 8

Since they didn't say p0 varies among the containers, it should be constant. If you want to be super-cautious, you can always make the statement:
"assuming all containers are placed in the same atmosphere at the same elevation...."
Nobody can contradict you because the question did not imply otherwise.

Answer 9

oh im meant the value of p, sorry

Answer 10

I use p(h) instead of p to emphasize that p is a function of h (only), apart from p0 and \(\rho\) and g.
So if p0, \(\rho\), g and h are (assumed to be) the same, p (or p(h) ) would be identical in all four cases.

Answer 11

oh i see! thank you so much! I knew we were all over thinking it!! :)

Answer 12

You're welcome! :)