Volech 28. A monatomic ideal gas initially at pressure Po = 10° Pa, volume Vo = 0.01 m³, and temperature To = 300 K is taken through the cycle shown in the figure. p %3D ЗР. a. Determine the change in internal energy from point A to point B. b. Determine the work done by the gas from point B to point C. Po c. Determine the heat released by the gas from point C to point D. d. Determine the net work done by the gas and the net heat absorbed by the gas. Vo 3V bhe s on the
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- 2 moles of ideal oxygen gas are kept at 273 K in a volume of 11.35 dm3 with a molar heat capacity at constant pressure, Cp of 29.4 J K–1 mol–1 (independent of temperature). If the gas is heated to 373 K at constant pressure in a reversible manner. a. What is the gas's final volume? b. How much work has been done on the gas system? c. How much heat does the system supplied ? d. What is the increase in gas's enthalpy? f. What is the increase in the internal energy of the gas? Kindly indicate the given. Thank youa. Explain what the temperature of an ideal gas actually measures, molecularly b. You have two containers, the first with 1 mole of helium and the second with 5 moles of neon at the same temperature. Which gas has more thermal energy? Explain.1. A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: a. How much work is done if the carbon dioxide-filled sphere expanded to five times its origina volume against the pressure at STP? Express your answer in L atm. b. Upon the expansion of the sphere, what is the kinetic energy of a single carbon dioxide molecule if it travels across the diameter and covers it in 30ms? Assume that the sphere contains one mole of carbon dioxide. Express your answer in J. c. How much power can all the molecules in this sphere generate after 30s? Assume that the sphere contains one mole of carbon dioxide and that all molecules have the same kinetic energy. Express your answer in W. (Use the KE obtained from the previous required)
- 6 moles of an ideal gas are initially confined to a 1.5 m^3 volume at 440 K. The gas is then compressed isothermally to a volume of 1.0 m^3. a. What is the initial pressure of the gas? b. What is the final pressure of the gas? c. How much work was done on the gas compressing it?thermodynami. P (Pa) A 900 в 600 300 2 V (m) 4 6 2. One mole of a monatomic ideal gas is taken from state A to state B isobarically. a. How much work is done on the gas during the process A→B? b. What is the change in internal energy UA- UB? c. Is heat added or removed from the gas during the process A→B? d. How much heat is added or removed from the gas? The state of the gas is changed from B>C where the pressure drops to 300 Pa without any change in volume and after the gas is compressed to point A isothermally. e. On the diagram below show the complete cycle A→B→C→A. P (Pa) A 900 B 600 300 2 4 V (m³) b a V 3 An ideal gas can be taken from state a to state c in three different paths: a- har P.2 moles of ideal oxygen gas are kept at 273 K in a volume of 11.35 dm3 with a molar heat capacity at constant pressure, Cp of 29.4 J K–1 mol–1 (independent of temperature). At constant temperature, if the gas is reversibly compressed to half its volume (273 K). a. What has changed to the gas's U? b. What is the gas's final pressure? c. How much is the system being worked on? d. How much heat flows out the system? e. What is the gas's change in H? Kindly indicate the given first. Thank you
- P (Pa) 800 B 600 400 A C 200 0 2 8 10 v (m³) 4 6 4. One mole of an ideal gas is taken through a closed cycle A→B→C→A. Use the information from the graph to answer the following questions: a. Find the temperature at point A. b.ls the net work done by the gas positive or negative? Explain. c. How much work is done by the gas? d.ls heat added to the gas or removed from the gas for the entire cycle? Explain. e. How much heat is added to the gas? f. What is the change in internal energy for the entire cycle? Answers:At one moment, an ideal gas occupies a volume of 1.2 Liters at a pressure of 2.00x10^5 Pa. It is cooled at constant pressure to a temperature of 1/3 it’s initial temp. A. What is the new volume of the gas (in Liters)? B. How many joules of work were done BY the gas in this process (be careful on whether this quantity is positive or negative)? C. “The internal energy of the gas increased during this process” Is this true or false?4 moles of hydrogen gas is stored in a vessel at STP. Then, the vessel is sealed and cooled to −50°C. Note assume ideal gas behavior (Cp of diatomic ideal gas = 7/2 R; 4.184 J = 1 cal) a. What is the change in internal energy of gas? b. What is the change in enthalpy of gas? c. What is the magnitude of work done by the gas? d. What is the magnitude of work done by the gas?
- p/ 10 Pa 7.2 2.0 %3D +>V/m³ 3.2 1.5 FIGURE 1 A monatomic gas expands adiabatically from the state X to the state Y as shown in the FIGURE 1. What is the change in the internal energy of the gas? C. -660 kJ A. -220 kJ D. -1.10 MJ B. -340 kJA weather balloon containing 130 moles of an Ideal Gas is released at sea level (atmospheric pressure) and has a volume of 3.1m³. While it rises through the atmosphere, the balloon remains at constant temperature. When it reaches its maximum altitude, the pressure drops to one sixth of its original pressure. a. What is the Temperature of the balloon at liftoff? a. What is the volume of the balloon at its maximum altitude? b. How much work is done by the gas in the balloon during this expansion?8. An ideal monatomic gas initially has a pressure of 2.00x10ʻPa , a volume of 4.00m and a temperature of 27 C. It has an isobaric expansion to 6.00m’. a. What are the new pressure and temperature? b. How much work is done to the gas? C. How much heat is added to the gas? d. What is the change in internal energy of the gas?