A furnace is required to sinter powder-metal parts. It operates continuously at 650 °C while the parts are fed through on a moving belt. You are asked to select a material for furnace insulation to minimize heat loss and thus to make the furnace as energy-efficient as possible. For reasons of space the insulation is limited to a maximum thickness of x = 0.2 m. Derive a material index for selecting the material for the insulation.

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