The solution to the heat equation is also used to solve for unknown thermal properties. Consider a slab 10 cm thick that was initially at a uniform temperature and cooled symmetrically with a surface...

The solution to the heat equation is also used to solve for unknown thermal properties. Consider a slab 10 cm thick that was initially at a uniform temperature and cooled symmetrically with a surface temperature at 15°C. A thermocouple fixed at a particular location inside the slab measures the temperature to be 4.23°C and 5°C after 55 and 60 minutes, respectively. From these measurements, calculate the thermal diffusivity of the slab.