You are testing some novel fuel mixtures for potential use in automobiles. Your testing apparatus is a 2.54-cm inner diameter cylinder fitted with a piston, designed to mimic a cylinder found in a car engine. A fuel/air mixture is ignited while a force of 286.0 N is applied to the piston. If there are 0.100 mol of gas after combustion at 240.0°C, and the atmospheric pressure is 1.01325 à 105 Pa, what is the pressure of gas inside the cylinder at these initial conditions? Assume the combustion products behave ideally.
What is the volume of gas in the cylinder?
The force applied to the piston is then reduced to 108.0 N and the gas responds in a two step process. The first, quick step is adiabatic. During the second, slower step, the gas returns to 240.0°C from heat provided by the cylinder walls. Assume that the change in kinetic and potential energies in both steps is negligible. Consider the energy balance equation for a closed system
where ÎU is the change in internal energy, ÎEk is the change in kinetic energy, ÎEp is the change in potential energy, Q is heat and W is work. For the first step of the two step process, sort the terms in the energy balance equation based on if they are zero or non-zero.
For the second step of the process, sort the terms in the energy balance equation based on if they are zero or non-zero.
For the third step of the process, sort the terms in the energy balance equations.
Then find the final pressure and volume of the gas?
How much heat was added to the gas in the process?
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