Why don't you precisely define a focus problem that we can work on together to help you get an understanding of these issues?Mohankpvk said:In an isothermal expansion of an ideal gas, can the piston be made to expand isothermally if the initial system pressure is equal to the initial surrounding pressure?(In most of the books and video lectures whenever they explain isothermal expansion, they assume initial system pressure to be higher than surrounding pressure.A well known example is a piston cylinder arrangement with weights placed on the piston.They never assume the initial pressures to be equal.)
Let us consider a frictionless piston cylinder arrangement containing an ideal gas.Initially the gas(system) inside the arrangement is at atmospheric pressure.The surrounding is the atmosphere.So the piston is at rest.If we heat the cylinder(by placing it in contact with a slightly higher temperature source(infinitesimal temperature difference), can the gas expand isothermally?(If so, please tell me whether the pressure of the gas increases or decreases during expansion and whether the final system pressure value will be higher or lower than the initial value after attaining equilibrium(the piston comes to rest))Chestermiller said:Why don't you precisely define a focus problem that we can work on together to help you get an understanding of these issues?
is the cylinder horizontal or vertical? If the cylinder is vertical, does the piston have mass, or is it massless?Mohankpvk said:Let us consider a frictionless piston cylinder arrangement containing an ideal gas.Initially the gas(system) inside the arrangement is at atmospheric pressure.The surrounding is the atmosphere.So the piston is at rest.If we heat the cylinder(by placing it in contact with a slightly higher temperature source(infinitesimal temperature difference), can the gas expand isothermally?(If so, please tell me whether the pressure of the gas increases or decreases during expansion and whether the final system pressure value will be higher or lower than the initial value after attaining equilibrium(the piston comes to rest))
The piston doesn't have any mass.So I think there will not be any difference between the two orientations.Chestermiller said:is the cylinder horizontal or vertical? If the cylinder is vertical, does the piston have mass, or is it massless?
Thank you.So this means the process cannot be isothermal (i.e. if the initial system and surrounding pressures(before expansion) are equal, the process cannot be an isothermal expansion)I am not really sure whether my inference is right.Please comment on it.Chestermiller said:If the cylinder is in contact with a slightly higher temperature source during this scenario, then, in the end, the temperature of the gas will be at the slightly higher source temperature, and the volume will be slightly higher. In other words, not much expansion will happen. The equilibrium pressure of the gas in the end (as well as throughout this "expansion") will be atmospheric.
There are two ways to get the gas to expand: (a) increase the outside temperature or (b) decrease the outside pressure. Or you can use combinations of outside pressure and temperature changes, if, at the final state, the volume (calculated from the ideal gas law) is greater than the initial volume.Mohankpvk said:Thank you.So this means the process cannot be isothermal (i.e. if the initial system and surrounding pressures(before expansion) are equal, the process cannot be an isothermal expansion)I am not really sure whether my inference is right.Please comment on it.
Isothermal expansion with equal pressures is a thermodynamic process in which a gas expands at a constant temperature while experiencing equal external and internal pressures.
In isothermal expansion with equal pressures, the temperature remains constant throughout the process, while in other types of expansion, the temperature may change.
Isothermal expansion with equal pressures is commonly used in heat engines and refrigeration systems, as well as in gas storage and transportation.
The equation for calculating work done during isothermal expansion with equal pressures is W = PΔV, where W is the work done, P is the pressure, and ΔV is the change in volume.
Yes, isothermal expansion with equal pressures can occur in real-life scenarios. For example, when a gas is released from a pressurized container into the atmosphere, the temperature remains constant, and the pressure inside and outside the container is equal.