7) Your parents are planning to have the entire family over for Thanksgiving. They want to cook a 28lb turkey, but the cookbook only provides information to 24 lbs. Knowing that you are a brilliant engineering student, they come to you for help. This is your chance to show off your dimensional analysis skills. The time required to cook a turkey, tc is dependent on the thermal diffusivity, a [L²/t], and the size of the turkey indicated by a characteristic length scale, λ. a) Form the relevant pi groups for this problem. b) Assuming that the turkey is spherical shaped so thatthe size is proportional to the weight 1/3, show that thecooking time is proportional to weight2/3 c) Using the data below, determine the correlation-between cooking time and weight. (this is probably easiest done using a Trendline in Excel) d) Calculate the cooking time for a 28lb turkey.