1. Find the work done in the quasi-static processes shown below. The states are given as (p, V) values for the points in the pV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5 (4 atm, 2 L). Use the conversions 1 atm 105 Pa, and 1 L=10-3 m³. (a) W12 = = 608 (b) W13 = = 0 (c) W14 608 (d) W153 PA P 608 XJ (a) P 3 (b) (c) (d) 1 V
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- One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `1. Find the work done in the quasi-static processes shown below. The states are given as (p, V) values for the points in the pV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5 (4 atm, 2 L). Use the conversions 1 atm≈1 05 Pa, and 1 L=10-³ m³. (a) W₁2= (b) W13 (c) W14= (d) W153 = == == == ✔ (a) (C) 2 PL 39 5 (b) (d)1. Find the work done in the quasi-static processes shown below. The states are given as (p, V) values for the points in the pV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5 (4 atm, 2 L). Use the conversions 1 atm ≈1 05 Pa, and 1 L-10-3 m³. (a) W₁2= = (b) W₁3= = (C) W₁4 = = (d) W153 = = РА PL (a) (c) 2 РА (b) (d) 3 V
- 1. Find the work done in the quasi-static processes shown below. The states are given as (p, V) values for the points in the pV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5 (4 atm, 2 L). Use the conversions 1 atm ≈1 05 Pa, and 1 L-10-³ m³. РА РА 2 (a) W₁2 (b) W13 (C) W₁4 (d) W153 || II == = = = = РА 1. ✓ J ✓ J 1 ✓ J (a) (C) РА 5 3 (b) (d) 3 11) A particular fluid has the fundamental equation of state S = A (N²V²E)'/5 where A is a constant. (a) Calculate the chemical potential of the fluid as a function of p and T. (b) Calculate the isothermal compressibility of this substance.2 moles of a monatomic ideal gas undergoes a cyclic process as depicted in the figure below. The processes AB and CD are isobaric and the process DA is adiabat given values p= 12.5 atm, V= 5.6 L, V= 2.8 L, pc= 25 atm, and V.= 1.849 L answer the following questions. (u se R=8.314 1 atm = 1.013x 105 Pa, 1L= 10-3 m³) mol · K' Volume 1. Calculate the temperature T= 989.75 XK 2. What type of process is the process BC? adiabatic + 3. Calculate the work done by the gas in the process DA.WDA= 6765.9 XJ 4. Calculate the magnitude of the net heat entering the cycle. Q4 = 15871.96 XJ 5. Calculate the magnitude of the net heat leaving the cycle. Qe= 4593.485 XJ 6. Calculate the net work done by the gas. W= XJ 7. Calculate the thermal efficiency of the cycle. e = 8. Calculate the change in the entropy in the process AB. Include the sign (positive or negative) in your answer as well. AS AB
- 1.50 moles of a monatomic ideal gas goes isothermally from state 1 to state 2. P1 = 2.8×105 Pa, V1 = 88 m3, and P2 = 6.6×105 Pa. What is the volume in state 2, in m3? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.One mole of an ideal gas, in the initial state T=298K, V=10L, expands to V=40L in isothermal process. Find the ⊿A value.Problem 2: A bubble of CO2 forms at the bottom of a lake and rises to the surface. Recall that the pressure P below the surface of a lake increases with depth h as AP = pg Ah, where p is the density of the water. As the bubble rises, the pressure decreases and the bubble expands. If the bubble rises slowly, the process is isothermal. But if the bubble rises rapidly, the process is adiabatic. You can assume f= 6 for CO2 gas near room temperature (3 translational modes and 2 rotational modes and one active bending mode.) a) Compare two initially identical bubbles A and B: Bubble A rises adiabatically, and bubble B rises isothermally. Let Pı be the pressure at the bottom of the lake and P2 be the pressure at the top of the lake. For each of the bubbles, A and B, derive a formula for the ratio of the volumes V2/V1 , and predict which bubble will expand more as it rises. b) For each bubble, A and B, by what factor will the volume increase if the bubble starts at a depth of 100 m and rises…
- 1 moles of a diatomic ideal gas undergoes a cyclic process as depicted in the figure below. The processes AB and CD are isobaric and the process DA is adiabatic. For the given values PA= 11.5 atm, VA= 6.5 L, V3= 3.25 L, Pc= 23 atm, and Vc=1.981 L answer the following questions. J (use R=8.314 1 atm = 1.013x105 Pa, 1 L= 10-3 m3) mol · K' Volume 1. Calculate the temperature TA K 2. What type of process is the process BC? 3. Calculate the work done by the gas in the process DA.WDA = 4. Calculate the magnitude of the net heat entering the cycle. |QH|=| 5. Calculate the magnitude of the net heat leaving the cycle. |Qcl = 6. Calculate the net work done by the gas. EW= 7. Calculate the thermal efficiency of the cycle. e = 8. Calculate the change in the entropy in the process AB. Include the sign (positive or negative) in PressureConsider a sample of ideal gas that follow the given PV diagram. Cv= 12.5 J/mol-K and Cp = 20.5 J/mol-K. [Answer in 3 significant figures] Point A Point B Point C a) b) c) d) cycle. e) AB Isobaric Process BC Adiabatic Process CA Isochoric Process P (atm) 3.10 V (L) 4.51 1.65 T (K) 850 159 P(atm) How much work is done per cycle by the gas? 3.5 3 2.5 2 1.5 1 0.5 0 0 1 B 2 V (L) 3 How many moles of ideal gas are there? What is the temperature at point B? What is the pressure at point C? Determine how much heat is transferred to or from the environment in one completeThe temperature at state A is 20.0ºC, that is 293 K. During the last test, you have found the temperature at state D is 73.0 K and n = 164 moles for this monatomic ideal gas. What is the change in thermal energy for process D to B, in MJ (MegaJoules)?