1. A closed, rigid container is charged with propene, C3H6­, and 150% theoretical air at 100 kPa, 298 K. The mixture is ignited and burns with complete combustion. Heat is transferred to a reservoir at 500 K, so the final temperature of the products is 700 K. Find the final pressure, the heat transfer per kmol fuel, and the total entropy generated per kmol fuel in the process.2. Liquid butane at 25◦C is mixed with 150% theoretical air at 600 K and is burned in an adiabatic steady-state combustor. Use the generalized charts for the liquid fuel and find the temperature of the products exiting the combustor.

1. To find the final pressure, heat transfer per kmol fuel, and total entropy generated per kmol fuel, we can use the principles of thermodynamics.

Step 1: Determine the initial and final states of the system.

• The initial state is 100 kPa and 298 K.
• The final temperature is given as 700 K.

Step 2: Calculate the final pressure.

• Since the container is closed and rigid, the volume remains constant.
• We can use the ideal gas law to find the final pressure.
• PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
• Rearranging the equation, we have P = (nRT) / V.
• Since the volume is constant, we can assume that the number of moles of the products is the same as the number of moles of the reactants.
• Therefore, the final pressure is (nRTf) / V, where Tf is the final temperature.

Step 3: Calculate the heat transfer per kmol fuel.

• The heat transfer per kmol fuel can be calculated using the equation Q = ΔH - W, where Q is the heat transfer, ΔH is the change in enthalpy, and W is the work done.
• Since the process is described as complete combustion, we can assume that the reactants and products are at the same pressure and temperature.
• Therefore, the change in enthalpy is equal to the heat of reaction, which can be found using the heat of formation values for the reactants and products.
• The work done can be assumed to be zero since the container is closed and rigid.
• Thus, the heat transfer per kmol fuel is equal to the change in enthalpy.

Step 4: Calculate the total entropy generated per kmol fuel.

• The total entropy generated per kmol fuel can be calculated using the equation ΔS = ΔS_system + ΔS_surroundings.
• ΔS_system can be calculated using the equation ΔS_system = nR ln(Vf / Vi), where Vi is the initial volume and Vf is the final volume.
• Since the container is closed and rigid, the volume remains constant, so ΔS_system is zero.
• ΔS_surroundings can be calculated using the equation ΔS_surroundings = Q / T_surroundings, where T_surroundings is the temperature of the reservoir.
• Since the heat is transferred to a reservoir at 500 K, we can use this temperature in the equation.
• Thus, the total entropy generated per kmol fuel is equal to ΔS_surroundings.

2. To find the temperature of the products exiting the combustor, we can use the generalized charts for the liquid fuel.

Step 1: Determine the initial and final states of the system.

• The initial temperature is 25°C, which can be converted to Kelvin.
• The initial state is given as 600 K.

Step 2: Use the generalized charts for the liquid fuel.

• The generalized charts provide relationships between the temperature and other properties of the system.
• By using the given initial temperature and the properties of the liquid butane, we can find the corresponding temperature of the products exiting the combustor.

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