Determine the diameter of a spring-type vapor relief for the following conditions. Assume for each case that $\gamma=1.3$, the set pressure is 100 psia , and the temperature is $100^{\circ} \mathrm{F}$.
$$
\begin{array}{ccccc}
\begin{array}{c}
\text { Compressibility, } \\
\boldsymbol{z}
\end{array} & \begin{array}{c}
\text { Molecular } \\
\text { weight }
\end{array} & \begin{array}{c}
\text { Mass flow } \\
\text { (lb/hr) }
\end{array} & \begin{array}{c}
\text { Over- } \\
\text { pressure } \\
\text { (\%) }
\end{array} & \begin{array}{c}
\text { Back- } \\
\text { pressure } \\
\text { (\%) }
\end{array} \\
\hline \text { a. } 1.0 & 28 & 50 & 10 & 10 \\
\text { b. } 0.8 & 28 & 50 & 30 & 10 \\
\text { c. } 1.0 & 44 & 50 & 10 & 10 \\
\text { d. } 0.8 & 44 & 50 & 30 & 10 \\
\text { e. } 1.0 & 28 & 100 & 10 & 30 \\
\text { f. } 0.8 & 28 & 100 & 30 & 30 \\
\hline
\end{array}
$$