The soft container contains 5.00 moles of gaseous Ar having the temperature 0.00° C and pressure of 2.00 atm has been placed into thermal contact with the environment having temperature 25.00°C and pressure 1atm. What is the change of the Gibbs free energy (final minus initial) after equilibration. Express the answer in kJ. Consider Ar as an ideal gas and use a classical expression for its specific heat.
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- Define isobaric,isochoric, isenthalpic,and isothermal. Can achangein a gaseous system be isobaric, isochoric,and isothermal at the same time? Why or why not?2mol ideal gas at 50oC temperature is available in an isolated system. By reducing the temperature of 1mol of this gas to 0oc under constant pressure, show whether it is possible to increase the temperature of the other 1mol to 100oC with the heat taken from here. It will be assumed that the molar heat capacities of the gas under constant pressure remain constant between these temperaturesDescribe how to find the relationshipbetween the state properties (P, V, T ) of agas and its molar mass or density.
- 3. One mole of liquid water at 100 °C is heated until the liquid is converted entirely to vapor at 100 °C and 1 atm pressure. Calculate q, w, AE and AH for each of the following. (a) The vaporization is carried out in a cylinder where the external pressure on the piston is maintained at 1 atm throughout. (b) The cylinder is first expanded against vacuum (Pext = 0) to the same volume as in part (a), and then sufficient heat is added to vaporize the liquid completely to 1 atm pressure.The molar heat capacity (C. (T)) for iron is given by the following Shomate equation, and 3. P,m is valid between 298-700 K, 0.012643 C (T)=|18.42+24.647 – 8.9147² +9 +9.6657³. J mol K Calculate AH when heating 1 g of Fe from 200-250°C.An ideal gas (0.487 mol) at 250 K and 1.5 bar is compressed to 5.7 bar.(a) Calculate the change in Gibbs free energy, ΔG (in kJ).
- The Gibbs Function G is a thermodynamic property. If following relationship as Ꮩ . (ap)T = -(T)P p=-S and = V, prove the(a) Under what conditions is a dA < 0 condition thatdefines the spontaneity of a process?(b) A sample containing 2.50 moles of He (1 bar, 350. K) ismixed with 1.75 mol of Ne (1 bar, 350. K) and 1.50 mol ofAr (1 bar, 350. K). Calculate AGmixing and ASmixing.4.00 mol of perfect gas atoms with C p,m= 25 R is initially at 100.0 kPa, 100.0 dm3. It is heated to 150.0 dm3 at constant pressure and then heated to 150.0 kPa at constant volume. Calculate W, Q, ΔU and ΔH for this process.
- A 1.0 mole of liquid water at 100 °C and 1.00 bar pressure converts into vapor at the same temperature but at pressure of 0.10 bar. The heat of vaporization of water at 100 °C is 40.6 KJ/mole and assume ideal behavior. Calculate the Gibbs free energy change (in KJ/mole) for this conversion. Express answer in THREE SIGNIFICANT FIGURES.A piston/cylinder arrangement contains one mole of an ideal gas (the system) initially at 10.0 atm pressure and 300 K, as shown in the accompanying illustration. Neglecting the mass of the piston, neglecting friction, and assuming isothermal conditions throughout, the pin restraining the piston is removed. For the resulting process: (g = 9.807 m sR7) (a) What is qsyst if the mass of the weight is zero? (b) What is qsyst if the mass of the weight is 100 kg? (c) What is qsyst if the mass of the weight is 1017.4 kg?What is AG (in kJ) for 2 SO2(g) + O2lg) 2 SO3(g) at 700 K, under standard conditions of 1 bar partial pressure for all gases, given that K = 3.0x104 at 700 K? O0.0 -36 O-60. +36 O +60.