Determine the size of the PSV and calculate the maximum equivalent length of inlet piping allowed

to ensure the inlet piping meets the code requirements for the following vessel. In addition,

determine the $\%$back pressure experienced by the valve during the relief event. You may assume the

inlet and outlet pipe diameters are the same as the inlet and outlet diameters for the selected PSV and

that the fire case serves as the overriding design.

Vessel Orientation: Horizontal

Maximum Allowable Working Pressure: $300$ psig

Vessel Diameter: $10ft$

Vessel Length $($T$-$T$)$: $40ft$

Environment: Bare Metal Vessel $(F=1\mathrm{.}0)$

$K_d=K_b=K_c=1\mathrm{.}0$;$Z=1\mathrm{.}0$

Vessel Material: Propane

Relieving Temperature: $158F$

Vapor Density at Relieving Temperature$/$Pressure: $2\mathrm{.}4927lb\frac{m}{f}{t}^3$

Vapor Viscosity at Relieving Temperature: $0\mathrm{.}009458cp$

Constant Pressure Specific Heat at Relieving Temperature: $1\mathrm{.}25Bt\frac{u}{l}b-F$

Inlet Pipe Roughness, $$:$0\mathrm{.}00015ft$

Flare System Operating Pressure: $2$ psig

Equivalent Length of Piping on Discharge Side of PSV: $300ft$