1What is the equation for the work done along a reversible transformation in the PV plane?
$W = -\int_{V_{\text{i}}}^{V_{\text{f}}} P(V) \, dV$
2What is a transformation?
Any path between two points on the PV plane
3When are transformations reversible?
When they happen in a sequence of small equilibrium steps
4What does height on the PV plane correspond too?
Higher temperature / Higher internal energy
5What is the definition of an isochore?
Transformation with constant volume (W=0)
6What is the definition of an isobar?
Transformation with constant pressure
7What is the definition of an isotherm?
Transformation with constant temperature (ΔU=0)
8What is the definition of an adiabat?
Transformation with zero heat exchange (ΔU=W)
9What is the equaiton for work done along an isobar?
W = PΔV
10What is the equaiton for work done along an isotherm?
$W = nRT \ln \left( \frac{V_f}{V_i} \right)$ = $nk_B T \ln \left( \frac{V_f}{V_i} \right)$
11What is the difference between an adiabat and an isotherm when drawn on the PV plane? And why?
Adiabats are steeper than isotherms, due too extra work done in the heat exchance of an isotherm
12How can an adiabatic transformation be otherwise represented?
As the sum of an isotherm and an isochore