Just because she likes these numbers, dr. hoffman decides to develop a new linear temperature scale in which water freezes at –182.8°hand boils at –29°h. a)what is a comfortable room temperature on the hoffman scale? (assume a constant standard pressure, and be sure to specify what “comfortable room temperature” means to you.) b)what does a temperature difference of 5f° equal on the hoffman scale? c)supposeyou have arectangular plate that initially has area ab= 1.9 m2. the coefficient of linear expansion for the materialis622.0 10c−. you heat it until its temperature is 81.5 h° greater than before. after heating, side ais longer by aand side bis longer by b. what is the change in area of the plate? hint: assume both changes in length are small compared with the original lengths.