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A long Pyroceram rod (ρ = 2600 kg/m^{3}, c_{p} = 808 J/kg·K, k = 3.98 W/m·K, and α = 1.89 × 10^{–6} m^{2} /s) with diameter of 10 mm has an initial uniform temperature of 1000°C. The Pyroceram rod is allowed to cool in ambient temperature of 25°C and convection heat transfer coefficient of 80 W/m^{2} ·K. If the Pyroceram rod is allowed to cool for 3 minutes, determine the temperature at the center of the rod using
(a) Table 4–2 and
(b) the Heisler chart (Figure 4–18).
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