Gasoline vapor is injected into the cylinder of an automobile engine when the piston is in its expanded position. The temperature, pressure, and volume of the resulting gas-air mixture are 20°C, 1.00×10^5 N/m^2, and 240 cm^3, respectively. The mixture is then compressed adiabatically to a volume of 40 cm^3. Note that in the actual operation of an automobile engine, the compression is not quasi-static, although we are making that assumption here. (a) What are the pressure and temperature of the mixture after the compression? (b) How much work is done by the mixture during the compression?

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Gasoline vapor is injected into the cylinder of an automobile engine when the piston is in its expanded position. The temperature, pressure, and volume of the resulting gas-air mixture are 20°C, 1.00×10^5 N/m^2, and 240 cm^3, respectively. The mixture is then compressed adiabatically to a volume of 40 cm^3. Note that in the actual operation of an automobile engine, the compression is not quasi-static, although we are making that assumption here. (a) What are the pressure and temperature of the mixture after the compression? (b) How much work is done by the mixture during the compression?

 

i need a detailed explanation for this and how to calculate the ratio of molar heat capacities, thank you!

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