PX154 - D5 - summary of processes

isobaric process

• constant pressure
  $\mathrm{\Delta }p=0$
  $\mathrm{\Delta }T=\frac{p\mathrm{\Delta }V}{nR}$
  $W=\int p.dV=p\mathrm{\Delta }V$

isochoric process

• constant volume
  $\mathrm{\Delta }V=0⟹W=0$$$Q=\mathrm{\Delta }U=n{c}_v\mathrm{\Delta }T$$
  • if $p$ increases, $\mathrm{\Delta }T+ve$
  • if $p$ decreases, $\mathrm{\Delta }T-ve$

isothermal process

• constant temperature
  $\mathrm{\Delta }T=0⟹\mathrm{\Delta }U=0$
  $pV=nRT=constant$

adiabatic process

$Q=0$
$p{V}^{\gamma }=constant$
$T{V}^{\gamma -1}=constant$
$$W=-nc_{v}\Delta T$$

sketch

• isobar has the largest power output