isobaric process

A thermodynamic process in which the pressure is kept constant. The volume of the gas can change in this case (usually because the gas is designated to move a piston).

When heat is added to the system, volume and temperature increases, and vice versa.

Doing Work

An isobaric process can do pressure-volume work:

$W=PAd$, $Ad=\Delta V$, $W=P\Delta V$, where $W$ is the work done by the gas, $P$ is the pressure of the gas, $d$ is the distance the piston was moved by the gas, and $\Delta V$ is the change in volume of container (piston). The reason why it can do work is because it applies force (through pressure), and it moves the piston (distance) — $W=Fd$.

Thermodynamic Properties

$\Delta U=Q-W$ (first law of thermodynamics) $\Delta U=\frac{3}{2}nR\Delta T$ $Q=\frac{5}{2}nR\Delta T$ where $Q=n{c}_P\Delta T$ and $c_P=c_V+R=\frac{5}{2}R$

$Q=\Delta U+W=\frac{3}{2}nR\Delta T+P\Delta V$ $W=nR\Delta T$ where $\Delta T=T_B-T_A$ (solve each separately with ideal gas law) $W=P\Delta V$