In the curing of rubber tires, the “vulcanization” process requires that a tire carcass, originally at 295 K, be heated so that its central layer reaches a minimum temperature of 410 K. This heating is accomplished by introducing steam at 435 K to both sides. Determine the time required, after introducing steam, for a 3 cm-thick tire carcass to reach the specified central temperature condition. Properties of rubber that may be used are the following: k = 0.151 W/m · K, c_p = 200J/kg · K, ρ = 1201 kg/m³, α = 6.19 × 10^-8 m²/s.