Our university laboratory has a large fluidized test unit $1m1m$ in cross section and $7m$ high.

In this unit we plan to fluidize limestone $({}_s=2,930\frac{kg}{m}3,d_p=0\mathrm{.}65(mm),{}_{\text{b}\text{e}\text{d}}=0\mathrm{.}5)$ at

$1\mathrm{.}5u_{mf}.$ The fluidizing air comes from a compressor which delivers just about any flow rate but

with a maximum outlet pressure of $122$kPa. What height of solids can we fluidize with this unit?

Data: Room air is at $20C$ and the pressure here in Corvallis is about $100$kPa.

To calculate the minimum fluidization velocity.