Let's say I have an ideal gas in a cylinder with adiabatic walls. This cylinder has a piston (thermally insulating as well) in between dividing the volume in half. If I have a heating coil in one portion, causing the gas to expand, what happens to the pressure and temperature of this gas? I feel like this process could be isothermal (if we assume the gas is heated slowly), but I can't be sure. Hence may I know what happens to the temperature of the gas? Thanks!
Considering the situation that the piston is free to move.
Let A be the cross sectional area of the piston.
The forces acting on piston are weight $mg$ downwards, $P_oA$ downwards and $PA$ upwards.
$P_o$ is the atmospheric pressure and P is the pressure of gas.
Considering slow expansion of gas we have, $mg+P_oA=PA$
The pressure of the gas remains constant. Its an isobaric process.