Ch 2 Online HW

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University of Illinois, Chicago *

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131

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Physics

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Jan 9, 2024

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Physics 132 Online Homework Problem: Chapter 2 Problem 1. (Nitrogen as an Ideal Gas) A. How many moles of nitrogen are there in 7 kg of nitrogen? The molecular weight of nitrogen is 28 g/mol . B. What is the pressure (in Pa ) of 7 kg of nitrogen gas confined to a volume of 0 . 4 m ! at 20 °C ? Problem 2. (The Ideal Gas Law) An ideal gas in container 1 has pressure , volume , temperature , and in container 2 with pressure 2 , volume " # and temperature 2 . What is the ratio of the number of moles of this gas in the two containers, $ ! $ " ? Problem 3. (Properties of an Ideal Gas) A sample of ideal gas is in a sealed container. The temperature of the gas and the volume of the container are both increased. What other properties of the gas necessarily change? More than one answer may be correct. a. The average (or rms, root-mean-square) speed of the gas atoms. b. The thermal energy of the gas. c. The pressure of the gas.
d. The number of molecules of gas Problem 4. (Volume of an Ideal Gas) What volume, in liters , is occupied by 1 ���� of an ideal gas at a pressure of 1 atm and a temperature of 0 °C ? ( 1 = 1.01 × 10 ��� % Pa ). Express your answer in liters to the tenth decimal place. Problem 5. (An Ideal Gas Process) A. What is the ratio & ' ? for the process shown in the right? B. How much work is done in this process? Express your answer in joules . Problem 6. (Internal Energy, Work done, Heat flow in an Ideal Gas Process) A cylinder with a moveable piston contains 0.016 mol of helium. A researcher expands the gas via a process show in the figure below. A. Using the ideal gas law, what is the initial temperature of the system? Express you answer in Kelvin .
B. What is the final temperature of the system? Again, express your answer in Kelvin. C. What is the change in internal energy for the process? Remember the relation: Express your answer in joules . Δ '() = 3 2 * Δ D. How much work is done by the gas during this process? This can be done by finding the area underneath the curve by splitting it into a rectangle and a triangle. Again, express your answer in joules . E. Putting it all together, how much heat needs to be transferred into or out of the system? Use positive for heat added to the system and negative for removed heat. Express you answer in joules . Problem 7. (The First Law of Thermodynamics)
500 J of work is done on a gas in a process that decreases the system’s thermal energy by 300 J . A. During this process: a. Heat is absorbed by the system b. Heat is released by the system c. No heat is exchanged B. How much energy (in J ) is transferred to the system as heat? Write your answer in joules. (Hint: Check the text to see how the signs of , , and Δ are defined.) C. Is the gas expanding or contracting? a. Expanding b. Contracting D. Which of the following ideal-gas processes could this process be? Choose all that apply. a. Isobaric b. Isochoric c. Isothermal d. Adiabatic Problem 8. (Work done on a gas) A gas in a cylinder with a movable piston occupies 50.0 cm ! at 50 °C . The gas is cooled at constant pressure until the temperature reaches 10 °C . A. What is the final volume? Express your answer in units of cubic centimeters. B. This change happens at a pressure of 1.5 atm . How much work is done on the gas? Express your answer in joules .
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