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Solve thermodynamics exercises involving ideal gases, Carnot engines, and heat cycles. Calculate volume, work, heat, entropy change, efficiency, pressures, temperatures, and more.
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TERMODINAMIKA DepartemenFisika FakultasMatematikadanIlmuPengetahuanAlam InstitutPertanian Bogor
Latihan • Satumol gas ideal yang mula-mulaadapadatekanan 1 atmdansuhu 0°C ditekansecaraisotermisdankuasistatiksehinggatekanannyamenjadi 2 atm. Hitung (a) volume gas mula-mula, (b) usaha yang diperlukanuntukmenekan gas (c) panas yang dikeluarkan gas selamaproseskompresitersebut.
2. Sebuahmesinkalorbekerjapadaduaisobarik (105Pa dan 3×105Pa) danduaisokhorik (0,5 L dan 2 L). (a) Gambarkansiklusmesintersebutdalam diagram p-V. (b) Hitungkerja yang dihasilkanmesintiapsiklus.
3. Sebuahmesin Carnot bekerjapadasuhu 400 K dan 900 K. (a) tentukanefisiensimesin. Jikakalor yang diserapsistempadatandonsuhutinggiadalah 5000 J tiapsiklusnya, tentukan (b) kalor yang dibuangsistempadatandonsuhurendah (c) kerja yang dilakukansistemtiapsiklus.
4. Satu mol gas ideal mula-mulamengalamiekspansibebasdariV1 = 12,3 L danT1 = 300 K sampaiV2 = 24,6 L danT2 = 300 K. Gas inikemudiandikompresisecaraisotermaldankuasistatikkembalikekeadaansemula. (a) berapakahperubahanentropisemestauntuksatusiklus yang lengkap? (b) berapakahusaha yang terbuangdalamsiklusini?
5. An engine operates with 1 mol of an ideal gas, for which Cv = 3/2R and Cp = 5/2R, as its working substance. The cycle begins at P1 = 1 atm and V1 = 24.6 L. The gas is heated at constant volume to P2 = 2 atm. It then expands at constant pressure until V2 = 49.2 L. During these two steps, heat is absorbed by the gas. The gas is then cooled at constant volume until its pressure is again 1 atm. It is then compressed at constant pressure to its original state. During the last two steps, heat is rejected by the gas. All the steps are quasi-static and reversible. (a) Show this cycle on a PV diagram. Find the work done, the heat added, and the change in the internal energy of the gas for each step of the cycle. (b) Find the efficiency of the cycle.
6. One mole of an ideal monatomic gas at an initial volume V1 = 25 L follows the cycle shown in Figure. All the processes are quasistatic. Find (a) the temperature of each state of the cycle, (b) the heat flow for each part of the cycle, and (c) the efficiency of the cycle
7. Two moles of a diatomic gas are carried through the cycle ABCDA shown in the PV diagram in Figure. The segment AB represents an isothermal expansion, the segment BC an adiabatic expansion. The pressure and temperature at A are 5 atm and 600 K. The volume at B is twice that at A. The pressure at D is 1 atm. (a) What is the pressure at B? (b) What is the temperature at C? (c) Find the work done by the gas in one cycle and the thermodynamic efficiency of this cycle.