Polyvinylchloride automotive body panels \((k=\) \(\left.0.092 \mathrm{~W} /
\mathrm{m} \cdot \mathrm{K}, c_{p}=1.05 \mathrm{~kJ} / \mathrm{kg} \cdot
\mathrm{K}, \rho=1714 \mathrm{~kg} / \mathrm{m}^{3}\right), 3-\mathrm{mm}\)
thick, emerge from an injection molder at \(120^{\circ} \mathrm{C}\). They need
to be cooled to \(40^{\circ} \mathrm{C}\) by exposing both sides of the panels
to \(20^{\circ} \mathrm{C}\) air before they can be handled. If the convective
heat transfer coefficient is \(30 \mathrm{~W} / \mathrm{m}^{2} \cdot
\mathrm{K}\) and radiation is not considered, the time that the panels must be
exposed to air before they can be handled is
(a) \(1.6 \mathrm{~min}\)
(b) \(2.4 \mathrm{~min}\)
(c) \(2.8 \mathrm{~min}\)
(d) \(3.5 \mathrm{~min}\)
(e) \(4.2 \mathrm{~min}\)