Problem $5$

An oxyacetylene welding $($OAW$)$ operation is used to weld a corner joint formed by two $4\mathrm{.}25-mm$ thick low carbon steel plates. A fillet weld is made at the joint, and the cross$-$sectional area of the weld bead $=13\mathrm{.}5m{m}^2.$ Travel speed at which the bead is formed $=5m\frac{m}{s}.$ The unit melting energy of the steel $=10\mathrm{.}32\frac{J}{m}{m}^3.$ From previous OAW operations, it is known that only $40\%$ of the energy generated by the torch is used for melting the metal; the rest is dissipated. Determine the volume flow rate $(\frac{m^3}{h}r)$ of acetylene required to perform this OAW operation. An equal volume flow rate of oxygen will be used.