The first$-$order, gas phase irreversible reaction $2$AlongrightarrowB$+C$ takes place in a $900$ liter isothermal plug flow reactor. Pure A enters the reactor at a rate of $27$mol$\frac{e}{m}in.$ The flow rate of product $B$ is measured to be $9$mol$\frac{e}{m}in$ at the output.

What is the correct value for the degree of conversion achieved at the output of this reactor?

The measured conversion of $A$ at the output of this reactor is $60\%.$ Choose the correct value for the quantity $(k^{**}{C}_{AO})$ with units $mo\frac{l}{L^{**}(min)}$