Although the reaction could heat up the gas up to thousands of degrees in Celsius, the product gas mixture could be cooled down dramatically when it transfers some of the heat to the piston. During that 2 – 3 milliseconds of reaction and the stroke, the heat that cylinder wall absorbs could be ignored as the reaction happens too fast to have the heat exchange while expansion, it is the heat absorbed by the top portion of piston we should consider because it contacts the gas mixture all the time during the process, and it is made of aluminum alloy, in which aluminum is one of the excellent heat-conducting metal. (When running normally, the temperature of the cylinder should be around 210 oF ) A) As mentioned, the diameter of the cylinder is 8.35 cm, and the thickness (height) of heated portion of the piston is estimated 1 mm. Consider the shape of heated portion of the piston is a right cylinder, calculate the volume of this heated portion. Given the density of Aluminum is 2.71 g/cm3, what is the massed of heated portion of the piston? B) Ignore the heat absorbed by the gas mixture, calculate the final temperature of heated portion of the piston, the specific heat of Al alloy is 0.88 J/(g·K). C) What is the pressure of the gas mixture in the clearance volume of the cylinder with the temperature calculated from Question 12? Consider the ideal behavior of the gas mixture. (Please any all 3 questions)
Although the reaction could heat up the gas up to thousands of degrees in Celsius, the product gas mixture could be cooled down dramatically when it transfers some of the heat to the piston. During that 2 – 3 milliseconds of reaction and the stroke, the heat that cylinder wall absorbs could be ignored as the reaction happens too fast to have the heat exchange while expansion, it is the heat absorbed by the top portion of piston we should consider because it contacts the gas mixture all the time during the process, and it is made of aluminum alloy, in which aluminum is one of the excellent heat-conducting metal.
(When running normally, the temperature of the cylinder should be around 210 oF )
A) As mentioned, the diameter of the cylinder is 8.35 cm, and the thickness (height) of heated portion of the piston is estimated 1 mm. Consider the shape of heated portion of the piston is a right cylinder, calculate the volume of this heated portion. Given the density of Aluminum is 2.71 g/cm3, what is the massed of heated portion of the piston?
B) Ignore the heat absorbed by the gas mixture, calculate the final temperature of heated portion of the piston, the specific heat of Al alloy is 0.88 J/(g·K).
C) What is the pressure of the gas mixture in the clearance volume of the cylinder with the temperature calculated from Question 12? Consider the ideal behavior of the gas mixture.
(Please any all 3 questions)
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