Consider a 7.6-cm-diameter cylindrical lamb meat chunk \(\left(\rho=1030
\mathrm{~kg} / \mathrm{m}^{3}, c_{p}=3.49 \mathrm{~kJ} / \mathrm{kg} \cdot
\mathrm{K}, k=0.456 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\right.\),
\(\left.\alpha=1.3 \times 10^{-7} \mathrm{~m}^{2} / \mathrm{s}\right)\). Such a
meat chunk intially at \(2^{\circ} \mathrm{C}\) is dropped into boiling water at
\(95^{\circ} \mathrm{C}\) with a heat transfer coefficient of \(1200 \mathrm{~W}
/ \mathrm{m}^{2} \cdot \mathrm{K}\). The time it takes for the center
temperature of the meat chunk to rise to \(75{ }^{\circ} \mathrm{C}\) is
(a) \(136 \mathrm{~min}\)
(b) \(21.2 \mathrm{~min}\)
(c) \(13.6 \mathrm{~min}\)
(d) \(11.0 \mathrm{~min}\)
(e) \(8.5 \mathrm{~min}\)