5) Air, initially at 373 K , 1 atm , and V,= 1 liter undergoes two successive reversible expansions- a reversible isothermal expansion to some intermediate volume V, followed by a reversible adiabatic expansion to a final volume V,=3 liters, cooling the gas to final temperature of 273 K. Calculate V,,Q, %3D and W, for the process. Assume ideal gas behavior.
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- 15.Suppose a monatomic ideal gas is changed from state A to state D by one of the processes shown on the PV diagram. PA Isotherms P₂2 atm P₁ atm A kJ E IN T B C 1 1 L I 4.00L 8.00L 16.0L V where P₁ = 1.10 and P₂ = 2.20. mat is the total work done on the gas if it follows the constant-temperature path AC followed by the constant-pressure path CD?10.-What is the heat of the isothermal process (from point B to point C)?
- 1. Two moles of a monatomic ideal gas such as helium is compressed adiabatically and reversibly from a state (5.5 atm, 6.5 L) to a state with pressure 6.5 atm. For a monoatomic gas y=5/3. (a) Find the volume of the gas after compression. ✓ final = 5.9 (b) Find the work done by the gas in the process. Latm W= -3.9 (c) Find the change in internal energy of the gas in the process. AE int=39 L.atm. Check: What do you predict the signs of work and change in internal energy to be? Do the signs of work and change in internal energy match with your predictions?You would like to raise the temperature of an ideal gas from 295 K to 960 K in an adiabatic process. a)What compression ratio will do the job for a monatomic gas? b)What compression ratio will do the job for a diatomic gas?a) Consider a process involving an ideal diatomic gas with n = 3mol, following p = aV, where a = 1 x 105 Pa/m³ is a constant. The gas ex- pands from volume V; = 1 m³ to V; = 4m3. P2 Find the (i) work done on the gas. (ii) heat entering the gas. 1 (iii) change in the internal energy of the gas. b) Now consider the cycle depicted in the figure, involving the same amount of gas as in the previous part. A → B is the process described in the previous subtask, B → C an isochor and C → A an isobar. Additionally, V2/V1 = n = 4 and Vi = 1 m³. Find the Pi 3 i) work done by the gas during one loop of the cycle. V1 V2 V ii) thermal efficiency of the cycle. iii) maximum theoretical efficiency of a Car- not cycle having the same temperature extrema as in this cycle. iv) coefficient of performance of the cycle, if it were used as a refrigerator .