Re:The most awesome startup I have ever seen.
by drostie on Monday March 12, 2012 @08:13PM
(#3696350)
Sorry, you're pretty much right. The equation I wrote is correct, but I naively plugged in a bad number: yes, P₀ V₀ = n R T = P₁ V₁, but I used the known number for V₁ (the final air in the container) as V₀. The proper formula is indeed P₁ V₁ ln(P₁ / P₀).
You have my apologies for my confusion.
I'm pretty sure your problem is that your formula misestimates the amount of gas stored. It is compressed, you know. You of off by about a factor of 200 - we use 200 atm air. It's 1.1 MWHr per high-boy shipping container
The energy stored is
efficiencyOutgoing * P_top * V_tank * (ln pressure ratio - 1 + 1/pressure ratio) -- you can look at our patents for more detail.