How to calculate rate of tank pressure change

[Alfredo78]

Hello everyone,
I'm new to the forum and after doing a basic search I wasn't able to find anything that would help me with a particular problem. I'm taking an online Aerodynamics course with Embry-Riddle and I can't figure out how to solve the following:

If air is being pumped into a 10 ft^3 tank at a rate of 0.01 lbm/sec, and the tank temperature is being held constant at 70 F. How fast (lb/ft^2/sec) is the pressure in the tank rising?

I would love to know how to solve problems like this in the future so, please give me some instructions if anyone is able to figure it out. Thanks

Al

[jaap de vries]

Since the temperature remains constant I think you can just use ideal gas law. How much is the density changing.... you can find that easily.

then P = Rho R T

dP/dt = dRho/ dt * R * T

dP/dt = dRho/ dt * Constant

This is true if there is no heat loss.