Please try to solve complete in one hour In this task, various ideal gases are considered. If no other information is given, the specific gasconstant R = 252.6 J/(kg K). Unless otherwise stated, all changes of state ebe regarded asquasi-static and take place in a closed system. All parts of the task dbe solved independently ofeach other. Indices indicate the initial state (index 1) and the final state (index 2). Thegeneral gas constant Rm = 8.314462 J/(mol K) applies to the entire task.Hint:- Round the results to three decimal places (e.g. 58.189 or 0.015).a)An ideal gas with p = 1907.6 mbar and T = 270.1 K is in a container with avolume of V = 720 cm3 . What quantity of substance (in mol) is in thecontainer?b)What is the pressure p2 (in kPa) after an isothermal change of state (T =310.2 K), in which a specific volume of vi = 0.12 m3/kg is initially present and|912 | = 101 kJ/kg specific heat is dissipated?c)Three ideal gases were mixed in a closed container. The mixture has apressure of p = 1.5 bar, the mole fraction of component 1 isı = 0.1 and thepartial pressure of component 3 is p3 = 0.825 bar. What vakabe the pressure(in bar) that would prevail if component 2 occupied the entire containeralone (components 1 and 3 wereremoved from the container)?d)An ideal gas (Ti = 540 K, vı = 2.1 m3/kg,= 1.5) isadiabatically and reversiblycompressed to a pressure of p2 = 400 kPa. What is then the specific volume(in m3/kg)?e)A dgmedium is to be selected for the design of a heat exchanger with adiabaticexternal walls. Since the installation space is limited, the mass flow of thecold gas is only one tenth of the warm mass flow. Nevertheless, the warmmass flow is to be cooled by 101 K, while the cold mass flow is heated by 45K. The mass flow of the cold gas is to be cooled by 45 K. What must be theratio of the isobaric labapacities Cp,kalt /Cp,warm ?f)Two stationary flow processes are coupled and 91% of the technical workoutput of a reversible isochoric pressure reduction from pi = 4.1 MPa top = 3.5 MPa at vi = 0.1 m3/kg is added to an isen- tropic compression (3 !4). What is the pressure ratio p4 /p ? 3achieved during isentropic compression (t3 = 21142 ac, = 1.28)? g)Starting from vi = 21 cm3/mol and Ti = 470 K, the molar volume of anideal gas is reduced isobarically by 12%. What is the temperature T2 (in K)?h)Volumetric work is added to and heat is removed from a closed system.This reduces the temperature by 47 K.In a stationary, open system,technical work is added and the same amount of laisemoved as in the closedsystem. The temperature change is also identical. What is the difference inamountbetween the volume change and the technical work (in J/kg)?i)A stationary adiabatic flow process emits wi, 12 = 172 kJ/kg and has adissipation of wi,12,diss = 23 kJ/kg. What is the isentropic exponent of theworking medium that is cooled from T1 = 417 K to T2 = 318 K?

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