1. (a) List three differences between heat and temperature. (3) (b) Imagine you are working at an espresso coffee shop stand, and your task is to prepare steamed milk for a customer. To do this, you need to bubble steam at 140C through a cup of milk. The milk in the cup initially has a temperature of 30C. Your goal is to raise the temperature of both the milk and the cup to 50C. Here are the details you have: The milk in the cup weighs 220 grams, and the cup itself has a mass of 100 grams. You also know the specific heat of the milk is 1 kcal/(kgC), the specific heat of the cup is 0.2 kcal/(kgC), the specific heat of steam is 0.48 kcal/(kgC), and the heat of vapourization of water is 540 kcal/kg. Determine the mass of steam required to achieve the desired temperature for the milk and the cup. Keep in mind that the milk behaves essentially like water in this scenario. ( 10 ) (c) As an aspiring scientist, you find yourself in the midst of a thrilling operation at an international airport. A syndicate has been caught attempting to smuggle gold cartons packaged as cubes through customs. You have been tasked by the airport authorities to determine the maximum size of a gold cube that an individual can carry without exceeding a weight limit of 400 N. Explain using your knowledge in physics how you would find the answer. (7)