This question requires the use of the conduction charts given in the appendix at the end of this paper. A steel plate having a thickness of 100mm is suddenly exposed to a hot gas at 1000C in a furnace. One surface of the plate is heated while the other surface of the plate can be approximated to be adiabatic. The initial temperature of the steel plate is 20C. The thermal conductivity and thermal diffusivity of the steel plate are 34.8W/mK and 0.555105m2/s respectively. The convective heat-transfer coefficient is 174W/m2K. a) Determine the time necessary to raise the surface temperature of the steel plate to 500C. Figure 1 - Dimensionless Transient Temperatures and Heat Transfer for an Infinite Slab Figure 2 - Dimensionless Transient Temperatures and Heat Transfer for a Long Cylinder