At very high pressures, the volume of a real gas is larger than that predicted by the ideal gas law because real molecules occupy space, which the ideal gas law neglects. At what pressure would the Van der Waals equation of state result in a volume that was 5% larger than that predicted by the ideal gas law for 1 mol of water vapor at a temperature of 0°C? Assume a = 0.546 Pa mб/mol2 and b = 3.05 x 10-5 m³/mol. Pa

Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.

The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when the side is 4 m. O 336 m³ / sec 224 m3 / sec - 336 m³ / sec - O -112 m³ / sec 448 m³ / sec

The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5 lb/ft³. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? b. If the water is pumped to ground level with a (4/11)-horsepower (hp) motor (work output 200 ft-lb/sec), how long will it take to empty the tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 10 ft (halfway) during the first 53 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.36 lb/ft³? 62.62 lb/ft³? a. Set up an integral to find the work done. W = Ground level 12 ft 0 20 17 ft