One mole of methane gas, with a temperature-independent heat capacity of 44//(mol - K), is held...

 

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One mole of methane gas, with a temperature-independent heat capacity of 44//(mol - K), is held within a piston/cylinder device, at an initial condition of 600K and 5 MPa. It undergoes the following two cyclic processes composed of reversible steps. a) Step 1: The gas is expanded isothermally to 0.2 MPa, absorbing a quantity of heat Q. Step 2: The gas is cooled at constant volume to 300 K. Step 3: The gas is compressed isothermally to the initial volume. Step 4: The gas is heated to the initial state at constant volume requiring heat transfer Q. Calculate AU, Q, Wec, and AS for each step and for the cycle. Also calculate the thermal efficiency that is the ratio of total work obtained to heat furnished, rcode b) Step 1: The gas is expanded to 3.92 MPa isothermally, absorbing a quantity of heat Qet- Step 2: The gas is expanded adiabatically to 0.1 MPa. Step 3: The gas is compressed isothermally to 0.128 MPa. Step 4: The gas is compressed adiabatically to the initial state. Calculate AU, Q, WEc, and AS for each step and for the cycle. Also calculate the thermal efficiency for the cycle, One mole of methane gas, with a temperature-independent heat capacity of 44//(mol - K), is held within a piston/cylinder device, at an initial condition of 600K and 5 MPa. It undergoes the following two cyclic processes composed of reversible steps. a) Step 1: The gas is expanded isothermally to 0.2 MPa, absorbing a quantity of heat Q. Step 2: The gas is cooled at constant volume to 300 K. Step 3: The gas is compressed isothermally to the initial volume. Step 4: The gas is heated to the initial state at constant volume requiring heat transfer Q. Calculate AU, Q, Wec, and AS for each step and for the cycle. Also calculate the thermal efficiency that is the ratio of total work obtained to heat furnished, rcode b) Step 1: The gas is expanded to 3.92 MPa isothermally, absorbing a quantity of heat Qet- Step 2: The gas is expanded adiabatically to 0.1 MPa. Step 3: The gas is compressed isothermally to 0.128 MPa. Step 4: The gas is compressed adiabatically to the initial state. Calculate AU, Q, WEc, and AS for each step and for the cycle. Also calculate the thermal efficiency for the cycle,