Steam is supplied to the heating coils of a reactor vessel at $125$ psig, saturated. Thecoils are $0\mathrm{.}5-$in schedule $80$ pipe $($ID$=0\mathrm{.}546$ in$).$ The steam is supplied from a mainheader through similar pipe with an equivalent length of $53$ ft$.$ The heating coils consistof $20$ ft of the pipe wound in a coil within the reactor.If the heating coil pipe shears accidentally, the reactor vessel will be exposed to thefull $125-$psig pressure of the steam, exceeding the vessels pressure rating. As aresult, the reactor must be equipped with a relief system to the discharge the steam inthe event of a coil shear. Compute the maximum mass flow rate of steam fromsheared coils using two approaches:a$-$ Assuming the leak in the coil is represented by an orifice

B$.$ Assuming adiabatic flow throgh the pipe