Chapter 4, Problem 177P

A small chicken $\text{(k = 0}\text{.45 W/m}\text{.K, }\alpha \text{ = 0}\text{.15 }\times {\text{ 10}}^{\text{-6}}{\text{ m}}^{\text{2}}\text{/s)}$ and can be approximated as an 11.25-cm-diameter solid sphere. The chicken is initially at a uniform temperature of 8°C and is to be cooked in an oven maintained at 220°C with a heat transfer coefficient of 80 W/m² K. With this idealization, the temperature at the center of the chicken after a 90-min period is

(a) 25°C

(b) 61°C

(c) 89°C

(d) 122°C

(e) 168°C