# How to read the PiVi^gamma = PfVf^gamma formula?

## Homework Statement

An ideal monatomic gas is held initially at a pressure of 1 atmosphere in a volume of 10L. It is compressed to 4L in an adiabatic process.
There are 0.8 moles.
Find the final pressure of the gas.
gamma = 1.667

## Homework Equations

PiVi^gamma = PfVf^gamma

## The Attempt at a Solution

I pretty much know what I'm doing, except I'm not sure what the formula means! Does it mean (PiVi)^gamma, or (Pi).(Vi^gamma?)

I always assumed it was the second, but I'm doubting it now. I got a huge answer (10,190 x 10^5 Pascals) and I'm not sure if it's reasonable.

Thank you!

Related Introductory Physics Homework Help News on Phys.org
HallsofIvy
says that an adiabatic process gives $PV^{\gamma}= Constant$ so the way you have written it is correct- it is only the volume that is raised to a power.