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- Pretend that you live in the 19th century and don't know the value of Avogadro's number* (or of Boltzmann's constant or of the mass or size of any molecule). Show how you could make a rough estimate of Avogadro's number from a measurement of the thermal conductivity of a gas, together with other measurements that are relatively easy.An inventor claims to have invented an adiabaticsteady-flow device with a single inlet–outlet that produces230 kW when expanding 1 kg/s of air from 1200 kPa and300C to 100 kPa. Is this claim valid?Air enters an adiabatic nozzle at 60 psia, 5408F, and 200 ft/s and exits at 12 psia. Assuming air to be an ideal gas with variable specific heats and disregarding any irreversibilities, determine the exit velocity of the air.
- Calculate the Helmholtz free energy (∆A) of an ideal gas when 2.0 mol expands isothermally from 1.5 to 3.5 cm3 at 120°CDerive a formula for the amount of work that a 1 kg air parcel performs when lifted from mean sea level to altitude z. Assume adiabatic conditions.An automobile wheel contains air with a pressure of 3x105 Pa at 25°C. The valve cover was removed and the air was expanded adiabatically against an external pressure of 105 Pa. What is the final temperature of the gas in the wheel? (Take into account that the gas behaves ideally and the Cp value for air is 7/2R)
- When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV to the power of 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 480 cubic centimeters and the pressure is 75 kPa and is decreasing at a rate of 10 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? Please Write legibleWhich of the following PV diagrams has At least one step that is isobaric  and at least one step that is isovolumetricWhat happens to the internal energy of a gas during an adiabatic expansion?
- To design a particular kind of refrigerator we need to know the temperature drop brought about by adiabatic expansion of the refrigerant gas. For one type of Freon, μJT = 1.2K/atm. What pressure difference is needed to produce a temperature drop of 5.0K ? +4.16 atm + 2.08 atm -4.16 atm -2.08 atmThe molar specific heat of a gas is measured at constant volume and found to be 11R/2. Is the gas most likely to be (a) monatomic, (b) diatomic, or (c) polyatomic?An automobile wheel contains air with a pressure of 3x10^5 Pa at 25 C. The sipop cover was removed and the air was allowed to expand adiabatically against an external pressure of 10^5 Pa. What is the final temperature of the gas in the wheel? (It should be taken into account that the gas behaves ideally and the Cp value for air is 7/2R)