Heat Transfer - Conduction and Convection: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Heat Transfer - Conduction and Convection. Understanding the underlying formula is key to arriving at the correct answer below:

Temperature gradient is defined as \(\frac{T_{\text{hot}} - T_{\text{cold}}}{L}\). Substituting the values, \(80 = \frac{30 - T_{\text{cold}}}{0.5}\). This simplifies to \(30 - T_{\text{cold}} = 40\), which gives \(T_{\text{cold}} = -10^\circ\text{C}\).