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) 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.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.
- 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…In the diagram a gas undergoes a change in pressure from a to b followed by a compression from bto c from an initial volume of V;= 9.47 m3 to a final volume of Vf= 3.99 m3. Determine the magnitude of the total work done in taking the gas from point a to point c. [Units: J] 30 b 20 10 а IC Vị V; V[m³] p [kPa]Calculate the work done when 75.4 mole of an ideal gas is expanded reversibly and isothermally from 50.114 to 162.924 atm at 25.00 oC. Express your answers in joules. Write your answers in scientific notation containing 5 significant figures.
- The diagram below depicts an ideal monatomic gas which is compressed isobarically at p = 1.38×10° Pa from state A (V = 6.32×10 m³) to 6 3 3 state B (V=3.7x10 m³) where its temperature becomes T = 305°C. Its pressure is then increased at constant volume from state B to C and finally expanded isothermally until it returns to its initial state A. How much work is done by the gas and what is its temperature when it expanded during the isothermal process? C Pc B PA = PB A VB = VC VA The temperature of the gas during the Isothermal process is 247.8 K and the work done by the gas is 2.734 kJ. The temperature of the gas during the isothermal process is 987.5°C and the work. done by the gas is 2573 kl. The temperature of the gas during the isothermal process is 714.4°C and the work done by the gas is 4.669 kJ. The temperature of the gas during the isothermal process is 521.0 K and the work done by the gas is 1358 kJ.The temperature of 10 moles of an ideal gas is 1000 K. Compute the work done by the gas when it expands isothermally to three times its initial volume. Given: Boltzmann constant: k = 1.38 x 10–23 J/K, Ideal Gas Constant: R = 8.31 J/(mol K) A. 91300 J B. 9130 J C. 913 J D. 91 J E. 9 JOne mole of the ideal gas is initially at 3 atmand 6 L. As the gas is slowly heated, theplot of its state on a P V diagram moves in astraight line to the state 7 atm and 7 L.Find the work done by the gas.Answer in units of kJ.
- A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in the figure below). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. Р (atm) 3 B 1 V (L) 5 10 15 (a) Find the number of moles in the sample. moles (b) Find the temperature at point B. K (c) Find the temperature at point C. (d) Find the volume at point C. L (e) Now consider the processes A - B, B → C, and C- A. Describe how to carry out each process experimentally.Air with an initially at: P,= 920 kPa, T,= 800 K and V,= 0.13 m³, expands in a reversible adiabatic manner. If the work produced is 130 kJ. Determine a. The mass of air, in kg. b. The final pressure and temperature, in kPa and K.just need help with c and d thanks