Determine the static pressure to stagnation pressure ratio associated with the following motion in standard air: (a) a runner moving at the rate of 5 mph, (b) a cyclist moving at the rate of 40 mph, (c) a car moving at the rate of 65 mph, (d) an airplane moving at the rate of 500 mph on the altitude of 30000 ft. (a) p/po = i (b) p/po = i (c) p/po = i (d) p/po = i

A rigid insulated tank is divided into 2 equal compartments by athin rigid partition. One of the compartments contains air, assumedto be an ideal gas at 800 kPa and 250◦C. The other compartment isunder a vacuum. The partition is suddenly broken and the air rushesinto the evacuated compartment. The tank pressure and temperatureeventually equilibrate. (a) what is the final temperature of the gas ◦C?(b) what is the final pressure, kPa?(c) how much work is done by the system, kJ/kg?(d) how much heat is transferred to the system kJ/kg

1C.5 The virial equation of state may also be written as an expansion in terms of pressure: Z= 1 + B'p+ ... The critical constants for water, H,0, are 218.3 atm, 55.3 cm³ mol-1 and 647.4 K. Assuming that the expansion may be truncated after the second term, calculate the value of the second virial coef- ficient B'at the critical temperature. %3D

When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV14 = C where C is a constant. Suppose that at a certain instant the volume is 310 cubic centimeters and the pressure is 87 kPa and is decreasing at a rate of 8 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? cm3 min (Pa stands for Pascal it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.

The average kinetic energy of the molecules in a gas sample depends only on the temperature, T. However, given the same kinetic energies, a lighter molecule will move faster than a heavier molecule, as shown in the equation for rms speed 3 RT rms speed %3D where R = 8.314 J/(mol-K) and M is molar mass in kilograms per mole. Note that a joule is the same as a kilogram-meter squared per second squared (kg-m²/s²). What is the rms speed of O, molecules at 411 K? rms speed: m/s What is the rms speed of He atoms at 411 K? rms speed: m/s

Xenon and helium are both ideal, monatomic gases, but they have very different molar masses (Mxenon = 33*Mhelium). If you have 1 mole of each gas and the gases are at the same temperature, which one of the following statements is true?     They both have the same internal energy, but xenon has a lower root-mean-square speed than helium.    They both have the same internal energy and root-mean-square speed.    They both have the same root-mean-square speed, but xenon has a greater internal energy than helium.    They both have the same internal energy, but helium has a lower root-mean-square speed than xenon.    They both have the same root-mean-square speed, but helium has a greater internal energy than xenon.