In adiabatic process prove that n = = Cp/Cv = X
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- In1816, Robert Stirling, a Scottish clergyman , patented the Stirling engine which has found a wide variety of applications ever since, including current use in solar energy collectors to transform sunlight into electricity. Fuel is burned externally to warm one of the engine's two cylinders, A fixed quantity of inert gas moves cyclically between the cylinders, expanding in the hot one and contracting in the cold one. Figure P21.33 represents a model for its thermodynamic cycle. Consider n moles of an ideal monoatomic gas being taken once through the cycle, consisting of two isothermal processes at temperatures 3Tiand Ti and two constant-volume processes. Let us find the efficiency of this engine .(a) Find the energy transferred by heat into gas during the isovolumetric process AB. (b) Find the energy transferred by heat into the gas during the isothermal process BC. (c) Find the energy transferred by heat into the gas during isovolumetric process CD. (d) Find the enrgy transferred by…A gas expands from 2.2 L to 3.6 L against a constant external pressure of 1.6 atm. What is the work done? A. -227 J B. 227 J C. 2.24 J D. -2.24 JP Example of calculation of work P = 1 Atm V%= 1 litre iii ii P V V,12 V In this cycle the system, which is an ideal monatomic gas, undergoes first isothermal (i) then adiabatic (ii) compression steps, each of which halve the volume, then returns to its starting point via first isothermal (iii) and then adiabatic (iv) expansions, each of which double the volume. How much work is done by the system during the cycle if P, is 1 atmosphere and V, =1 litre?
- The difference AS=S,- S,between the entropies of two states A and B of a system can be calculated as the integral fdQ/T, counting that: B a. A and B are in the same adiabatic b. A and B are at the same temperature c. The integral is calculated over a reversible path d.The system is thermally insulated e. Friction in the process is disregardedEach line of the following table gives data, in Btu, for a process of a closed system. Determine the missing table entries, in Btu. Process Q a b с d e i 40 -4 -10 3 W i i 5 0 10 E₁ IN 15 7 -10 8 E₂ H Mi 14 -8 ΔΕ i 30 10