- #1
thinkingcap81
- 27
- 2
I'm trying to solve a problem where a perfect ideal gas is entering an initially evacuated rigid vessel. The input pressure and temperature are Pi and Ti which are constant. The incoming mass Mi is an arbitrary function of time.
When i solve this, i get the temperature inside the container as (Cp/Cv)Ti which is same from the beginning till the end of the filling process.
I am unable to physically understand how the temperature in the container is supposed to be constant. Isn't the ideal gas entering the rigid vessel undergoing free expansion at the first instant and then it gradually becomes more difficult to pump the gas in? So how can the temperature inside the container be constant?
I know that some books talk of imagining a piston pushing the gas in hand hence it is doing flow work, but i cannot visualize the process especially in the context of the present problem.
When i solve this, i get the temperature inside the container as (Cp/Cv)Ti which is same from the beginning till the end of the filling process.
I am unable to physically understand how the temperature in the container is supposed to be constant. Isn't the ideal gas entering the rigid vessel undergoing free expansion at the first instant and then it gradually becomes more difficult to pump the gas in? So how can the temperature inside the container be constant?
I know that some books talk of imagining a piston pushing the gas in hand hence it is doing flow work, but i cannot visualize the process especially in the context of the present problem.