(2. (1) One mole of an ideal monatomic gas is taken around the reversible cycle of Fig. 21.23. The isothermals are at 500 K and 300 K. Find the efficiency of the engine.
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- An engine using 1 mol of an ideal gas ini- tially at 16.1 L and 325 K performs a cycle consisting of four steps: 1) an isothermal expansion at 325 K from 16.1 L to 31.5 L; 2) cooling at constant volume to 163 K; 3) an isothermal compression to its original volume of 16.1 L; and 4) heating at constant volume to its original temperature of 325 K. Find its efficiency. Assume that the heat capacity is 21 J/K and the univer- sal gas constant is 0.08206 L atm/mol/K 8.314 J/mol/K.Temperatures: (A) (in W) An internal combustion engine may be described approximately as a cyclic heat engine, in which the working gas undergoes an Otto cycle. Assume (i) the engine speed is 10 strokes per second; (ii) the engine absorbs heat Qh and emits heat Qc for each cycle. (A) What is the power supplied as work? (B) What is the efficiency? Qh=640 joules; Qc = 455 joules. OA: 1275.9 OB: 1850.0 OC: 2682.5 OD: 3889.6 OE: 5640.0 OF: 8177.9 OG: 11858.0 OH: 17194.1 (B) OA: 0.096 OB: 0.113 OC: 0.132 OD: 0.154 OE: 0.180 OF: 0.211 OG: 0.247 OH: 0.289(1) A thermodynamic cycle is a process, in which the system starts from initial state, goes through another state and comes back to the initial state. For the work done to the system W and heat received by the system Q, prove that W = - = -Q.
- Consider the adiabatic free expansion of n moles of an ideal gas from volume V₁ to volume V2, where V₂ > V₁. [Hint: check lecture 19, chapter 5.6, process number 5. Note that such a process happens quasi-instantaneously, thus, it is irreversible.] (1) Calculate the change in entropy of the gas. (2) Calculate the change in entropy of the environment. (3) Evaluate the total change in entropy (AS = ASgas + ASenv.) for 1 mole, with V₂ = 2V/₁.A clear detailed answer would be great to understanding the question and also how to solve it!29) Calculate the change in entropy (AS) for the process of freezing 2 kg of liquid methane at 182°C to solid methane at -182°C. Heat of melting/freezing for methane is 59 kJ/kg. A: 0.94 kJ/K B: -0.94 kJ/K C: 1.3 kJ/K D: -6.0 kJ/K E: - 1.3 kJ/K Considering just