Problem 1 (30 points) Situation: In this problem, an ideal gas [Cp=(7/2)R] is subjected to several heating/cooling scenarios and you are to calculate the amount of heat, in [BTU), needed for the process. The scenarios are as follows: 1. Five pound-moles of gas are heated from 80 [F] to 240 [F] in a rigid vessel with negligible heat capacity. 2. Same as scenario 1, but now the vessel has a heat capacity of 0.12 [BTU/lb.F] and has a mass of 180 [lb]. 3. Eight pound-moles of gas are now cooled from 380 [F] to 120 [F] at constant pressure in a piston-cylinder device with negligible heat capacity. Requirements: Please, determine the following (in [BTU]) using the proper sign in your answer (10 points each): (a) The heat effect required in scenario 1 is: [BTU) (b) The heat effect required in scenario 2 is: [BTU] (c) The heat effect required in scenario 3 is: [BTU)