4. (4 pts) Thermal Expansion of Gasses. Unlike solids which maintain their shape and have a linear coefficient of thermal expansion, a=(1/D)(dL/dT), fluids (both liquids and gasses) have no shape, and hence no length, so they fill the container in which they are placed, so for fluids we can only define a volume coefficient of thermal expansion, B= 1 a where the subscript P on the partial derivative means that we evaluate the change in volume with temperature while holding the pressure fixed. a. (3 pts) What is the volume coefficient of thermal expansion for an Ideal Gas at 0*C to three significant figures? b. (1 pt) All ordinary gasses at ordinary temperatures and ordinary pressures obey the Ideal Gas Law to an excellent approximation. How does your result in part (a) compare to the actual coefficient for air at 0-C? 5. (2 pts) Mis-Spent Honeymoon. In 1847 while on his honeymoon, James Joule attempted to measure the temperature difference of the water at the top and bottom of the Cascade de I'Arpenaz waterfall near Mont Blanc, one of the tallest waterfalls in France with a total height of 365 m. If all of the gravitational potential energy of the water approaching the falls were converted to thermal energy of the water leaving the falls, by how much would the water's temperature have risen? (The actual temperature difference is strongly affected by evaporative cooling, much of it in the waterfall's spray, so Joule did not measure what he had anticipated. Perhaps surprisingly, his marriage survived the honeymoon.) 6. (7 pts) Classical Calorimetry. Water of mass m, at temperature , (0*C