One mole of a gas is placed in a closed system with a 20 l vessel initially at t = 300 k. the vessel is then isothermally expanded to 40 l. the gas follows the equation of state: p = rt/v + a/v2 where a = 240 l2 · atm/mol2 and r = 0.08206 l · atm/ mol · k. a. derive an expression relating (dh/dv)t to measurable properties. b. find dh for the gas in this process.

Arunner is jogging at a steady 3.6 km/hr. when the runner is 2.9 km from the finish line, a bird begins flying from the runner to the finish line at 14.4 km/hr (4 times as fast as the runner). when the bird reaches the finish line, it turns around and flies back to the runner. even though the bird is a dodo, we will assume that it occupies only one point in space, i.e., a zero-length bird. how far does the bird travel? (b) after this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. the bird repeats the back and forth trips until the runner reaches the finish line. how far does the bird travel from the beginning? (i.e. include the distance traveled to the first encounter)