At a specific RPM (revolutions per minute) for a diesel engine, a strong resonance at a...

 

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At a specific RPM (revolutions per minute) for a diesel engine, a strong resonance at a frequency of 250Hz and wavelength of 2.4 m are observed in the exhaust pipe (pipe with constant cross section) following the silencer in the engine exhaust system. This is the lowest resonance frequency of the exhaust pipe. (i) What is the speed of sound in the gas mixture in the pipe? (ii) What is the average exhaust gas temperature in the exhaust pipe? (iii) What is the density of the exhaust gas mixture? Assume the gas in the pipe is at atmospheric pressure, P = 101325 Pa. Specific Gas Constant for the exhaust gas, R = 235 J/kg K, and the ratio of specific heats, y = 1.4. At a specific RPM (revolutions per minute) for a diesel engine, a strong resonance at a frequency of 250Hz and wavelength of 2.4 m are observed in the exhaust pipe (pipe with constant cross section) following the silencer in the engine exhaust system. This is the lowest resonance frequency of the exhaust pipe. (i) What is the speed of sound in the gas mixture in the pipe? (ii) What is the average exhaust gas temperature in the exhaust pipe? (iii) What is the density of the exhaust gas mixture? Assume the gas in the pipe is at atmospheric pressure, P = 101325 Pa. Specific Gas Constant for the exhaust gas, R = 235 J/kg K, and the ratio of specific heats, y = 1.4.

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To solve these problems we can use the following equations i The speed of sound in a gas can be calc... View the full answer