1. At room temperature (20 \deg C), the length of a rod is measured as 20 cm using a steel meter. When both the rod and the steel meter are placed in a furnace at 270 \deg C, the length of the rod is measured as 20.1 cm. Calculate the coefficient of thermal expansion of the material from which the rod is made. (@steel=11x10-60C-1) 2. The diameter of a steel bar at 25 \deg C is 3,000 cm. Inner diameter of a brass ring is 2.992 cm at 25 \deg C. At what temperature does the ring fit the steel rod exactly? (steel 11x10-60C-1, brass 19x10-6 \deg C-1) 3. An aluminum container with a capacity of 0.1 liters is filled to the brim with mercury at a temperature of 12 \deg C. How much mercury spills onto the ground when the temperature is increased to 18 \deg C? (a=23x10-6 \deg C-1, mercury 1.8\times 10-4 \deg C-1) 4. A brass ring with a diameter of 10.00 cm is heated to 20 \deg C and passed onto an Al rod with a diameter of 10.01 cm at 20 \deg C. Assuming the linear expansion coefficients are constant, a) To what temperature should the ring and rod be cooled to decompose? Is it possible? b) Would it be possible if the diameter of Al was 10.02 cm?