# Temperature and Mass Flow effect on Pressure

by samshree
Tags: effect, flow, mass, pressure, temperature
 PF Gold P: 1,491 There are models for this, particularly if you can ensure the tank is adiabatic (no heat transfer in or out of the tank). In that case you can treat the problem as isentropic and use the ideal gas law and the isentropic relations to get what you are after. For example, you know one form of the ideal gas law is ##p = \rho R T## where ##R## is the specific gas constant. For an isentropic process in an ideal gas, you have the following relationships: $$\dfrac{p_2}{p_1} = \left(\dfrac{\rho_2}{\rho_1}\right)^{\gamma} = \left(\dfrac{T_2}{T_1}\right)^{\gamma/(\gamma-1)}$$ where ##\gamma = c_p/c_v##. That should get you where you need to go.