Calculating PSI from Kinetic Energy and Tank Size

[BenChicago]

Homework Statement

What is the resulting PSI when the kinetic energy of 100 kg at 7 m/s is used to compress air into a 15cm x 15cm x 60cm tank?

Homework Equations

Kinetic energy K = 0.5mv^2
Boyle's Law PV = K

The Attempt at a Solution

.5 x 100 x 7^2
50 x 49 = 2450 joules

.15 x .15 x .6 = .0135m^3
.0135 x V = 2450
V = 181481 pascals
V = 26.3 psi

** is this correct? seems like the psi is too small

 

[Antiphon]

You can't just sanity check the pressure;

What if the tank were the size of a football stadium? Then 28 PSI would be a huge pressure for this problem.

It seems right to me for the size of the tank.