How to calculate the time required to open a valve to inflate a balloon?

[Josh Humphries]

Homework Statement

I have a canister (0.15L Volume). This will be filled with compressed air.
A solenoid valve attached has a diameter of 2mm, and the air will flow through this into a pipe which leads to a balloon. The pipe diameter is 3mm, with a length of 300mm.
The pressure required to inflate the balloon past it's elasticity is 1psi, I believe.
My question is how do I calculate how long I'll need to open the valve for enough pressure to get through to pump the balloon to that point?

Relevant Equations

N/A

Problem Statement: I have a canister (0.15L Volume). This will be filled with compressed air.
A solenoid valve attached has a diameter of 2mm, and the air will flow through this into a pipe which leads to a balloon. The pipe diameter is 3mm, with a length of 300mm.
The pressure required to inflate the balloon past it's elasticity is 1psi, I believe.
My question is how do I calculate how long I'll need to open the valve for enough pressure to get through to pump the balloon to that point?
Relevant Equations: N/A

Any help would be appreciated.

 

[berkeman]

Welcome to the PF.

Is this post really for schoolwork? If it's not for schoolwork, I could move it to the technical forums. If it is for schoolwork, you need to show your efforts to work on the solution before we can offer tutorial help. Thanks.

 

[Josh Humphries]

Thank you!
This is for an undergraduate project I am working on. I am pressurising a reservoir and attaching an electronically controlled solenoid valve to the tank, which I will actuate to release pressure via a pipe, to a balloon.

I have an idea that relates to Bernoulli's Equation and so far I have relevant information:

Using: Pg+12ρgv2g=Pa

With regards to: Pg=mMRT

I have worked out that I have the below:

m = 28.97
T = 25 Degrees C
R = 287 J/kg

I'm not sure if I'm on the right track here...