- #1

member 392791

## Homework Statement

A 4.00-L sample of a diatomic ideal gas with specific heat

ratio 1.40, confined to a cylinder, is carried through a

closed cycle. The gas is initially at 1.00 atm and at 300 K.

First, its pressure is tripled under constant volume.

Then, it expands adiabatically to its original pressure.

Finally, the gas is compressed isobarically to its original

volume. (a) Draw a PV diagram of this cycle. (b) Determine

the volume of the gas at the end of the adiabatic

expansion. (c) Find the temperature of the gas at the

start of the adiabatic expansion. (d) Find the temperature

at the end of the cycle. (e) What was the net work done on the gas for this cycle?

## Homework Equations

## The Attempt at a Solution

Part A is a graph of a typical adiabatic expansion. Part B I used PV^γ is constant and found V=8.77 L. Part C I used PV = nRT and got 900K.

I am stuck on part D, I know it should be 300 K, but I want to know why the equation TV^(γ-1) = constant isn't working. Lastly for part E, I don't know how to find the area under the curve without P as a function of V.