You discuss the problem with a recent engineering graduate, and they identified heat transport as the process that controls the rate of evaporation. Specifically, heat transport in the mud is calculated using: q1 = p L R T/t where t is the time, T is a temperature difference, p is density, and the other variables are properties of the geometry of the mud and cracks. Heat transport is also important at the surface where the water is evaporating, and heat transport at this location is calculated using: q2= P T/L where P is a partial pressure difference. Cracks will begin forming in the mud at time t. You should develop a python code that uses sympy (the race organizers do not yet trust your algebra skills) to solve for the time, t, when cracks first form in terms of p, L, R, T, and P. Finally, you look up estimates for some of the variables in these equations and determine that P/L 10 for T given in C. Knowing this, generate a plot of q2 on the y-axis and T on the x-axis to look at the relationship between heat transport and the temperature difference. Think about what might be a reasonable range of temperature differences between the mud and the air. Summarize your findings, including an equation for the time, t, to crack formation and a plot of q2 vs. T