Chapter 9.4, Problem 38E

a.

To determine

To show: $t_{\frac{1}{2}}=-\frac{1}{k}\ln \left[\frac{T_0-2A}{2\left(T_0-A\right)}\right]$

b.

To determine

To explain: Whether the cooling time $t_{\frac{1}{2}}$ is increase or decrease with respect to increase the value of k.

c.

To determine

To explain: The required condition on $A<\frac{T_0}{2}$.