The specific heat ratio at room temperature, k = 1.4. The universal gas constant is 8.314 kJ/kmol K and the air consists of 21% O2, 78% N2 and 1% Ar.(Assume the molar mass of O, N, and Ar atoms are 16 kg/kmol, 14 kg/kmol and 40 kg/kmol, respectively).Determine the speed of sound in air at (a) 450 K and (b) 1400 K.Determine the Mach number (Ma) of an object moving in air at a velocity of 270m/s for both cases.a) at 450 KSpeed of sound:m/sMach number:b) at 1400 KSpeed of sound:m/sMach number:

Given: Air at 450K and 1000 K V=270 m/s TO determine: Speed of sound and Mach number

Answered: Determine the speed of sound in air at…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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a) In a simple experiment, a solid with a diameter 3 mm and density 1500 kg/m3is released from a tall tower containing air at 25 oC and 1 atm. The inside diameter of the column is 0.15 m. The density of the air is assumed to be 1.2 kg/m3. List all your assumptions and estimate the minimum height of the tower to make sure the particle reaches its terminal velocity before it hits the bottom of the tower. b) In another experiment, 5 kg of the solid particles are to be fluidized with air at 1 atm and 25 oC. The diameter and density of the particles are 3 mm and 95 kg/m3, respectively.Using the Ergun Equation, determine whether the flow of the air is laminar orturbulent. List all your assumptions.
Question : Determine the units of the quantity s ̄/Ru, where s ̄ is the molar specific entropy and Ru is the universal gas constant. Explain your answer please
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In an electrolysis of water experiment, 39.75 mL of H2 gas was collected over water at 60.0 °C and an atmospheric pressure of 1.03 atm. The vapour pressure of water at 60.0 °C is 19.92 kPa. What mass of H2 was collected?
Explain the following laws for gases - Boyle's Law, Charles Law, Gay Lussac Law, and Avogadro's Law.
A cylinder initially has a volume of 0.025 m3 that contains 1.5 moles of gas at a temperature of 0°C at a pressure of 1.35 atm. (1) If the pressure is changed to 0.1 atm, but the amount of gas and the temperature are kept constant, what must the new volume be? (2) Starting from the initial cylinder's conditions above, if an additional 1.2 moles of gas are added to the cylinder, in order to keep the volume and pressure constant, what must the new temperature of the gas be? (3) Starting from the initial cylinder's conditions above, if the volume is changed to 0.1 m3 and temperature is increased to 200°C but the amount of gas in the cylinder is unchanged, find the new pressure in the cylinder.
A gas at 20 ° C may be considered rarefi ed, deviating fromthe continuum concept, when it contains less than 10 12molecules per cubic millimeter. If Avogadro’s number is6.023 E23 molecules per mole, what absolute pressure (inPa) for air does this represent?
A perfect gas expands polytropically with an initial volume and temperature of 0.06 m³ and 147°C. If the final volume and temperature are 0.21 m³and 21°C, what is the value of the polytropic index n? answer must be in 3 decimal places
A perfect gas expands polytropically with an initial volume and temperature of 0.06 m³ and 147°C. If the final volume and temperature are 0.21 m³and 21°C, what is the value of the polytropic index n?
A sample of oxygen (O2) of mass 1 g is contained in a 1000 cm3 volume at an initialtemperature of 288.15 K. Take the oxygen to be a perfect gas, with a molar mass of32 ×10−3kg/mol and a constant specific heat ratio of 1.40.(a) Compute the density (kg/m3) and pressure (kPa) of the gas at the initial state.(b) Calculate the changes in pressure (kPa) and internal energy (J), when the systemundergoes a process that produces a final volume of 60 cm3 and a final temperatureof 400 K.
Question 3(a) A cylinder fitted with a piston which can move without friction contains0.05 moles of a monatomic ideal gas at a temperature of 27°C and a pressure of 1 x 10^5 Pa. Calculate : (i)The volume (ii) the internal energy of the gas. (b) The temperature of the gas is now raised to 77°C, the pressure remainingconstant. Calculate : (iii) the change in internal energy(iv) the external work done(v) the total heat energy supplied.(Molar gas constant = 8.3 J mole^-1 K^-1)
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Determine the speed of sound in air at (a) 450 K and (b) 1400 K. Determine the Mach number (Ma) of an object moving in air at a velocity of 270m/s for both cases.