Chapter 1, Problem 1.22P

The free convection heat transfer coefficient on a thinhot vertical plate suspended in still air can be determined from observations of the change in plate temperature withtime as it cools. Assuming the plate isisothermal and radiation exchange with its surroundings is negligible, evaluate the convection coefficient atthe instant of time when the plate temperature is 225°Cand the change in plate temperature with time $\left(dT/dt\right)$ is $-0.022\text{ K}/\text{s}$ . The ambient air temperature is 25°C andthe plate measures $\text{0}\text{.3}\times 0.\text{3}\text{m}$ with a mass of 3.75 kgand a specific heat of $2770\text{J/kg}\cdot \text{K}$ .