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1. A quartz sphere is 15.0 cm in diameter. What will be its change in volume if its temperature is increased by 280 OF? (the coefficient of volume expansion of quartz is 1.50 x 10-6 oc-1) cm 3 2. A concrete highway is built of slabs 19.0 m long (at 18 .C). How wide should the expansion cracks be (at 18 C) between the slabs to prevent buckling if the annual extreme temperatures are -27 .C and 50 .C? (the coefficient of linear expansion of concrete is 1.20 x 10-5 .c-1) meters 3. Concrete sidewalks are always laid in sections, with gaps between each section. For example, the figure shows five identical 5.30-m sections, the outer two of which are against immovable walls. The four identical gaps between the sections are provided so that thermal expansion will not create the thermal stress that could lead to cracks. What is the minimum gap width necessary to account for an increase in temperature of 32 .C? cm Gap 4. A circular piece of diameter 8.40 cm is cut from an aluminum sheet at 18 C. If the sheet is then placed in an oven and heated to 135 C, what will the new area of the hole be?(The coefficient of thermal expansion for aluminum is 2.30 x 10- .c-1) cm2 5. A 755 g piece of copper is heated in a furnace to a temperature T. The copper is then inserted into a 145 g copper calorimeter containing 260 g of water. The initial temperature of the water and calorimeter is 17 .C, and the final temperature after equilibrium is established is 40 C. When the calorimeter and its contents are weighed, 39.0 g of water are found to have evaporated. What was the temperature T?(Cw = 4186 J/(kg. C), Ly=3.35 x 10 J/kg, Ly=2.26 x 10 J/kg, Ccopper = 387 3/(kg. C) .C