2. Four moles of a diatomic ideal gas is taken from a pressure of 2 atm to a pressure of 16 atm via a reversible process given by p = (8 × 10-6)7³, where P is in atm and T is in K. Use the values for R given in problem 1. a. Find the initial volume, final volume, initial temperature, and final temperature of the gas. b. Find the work done by the gas during this process. c. Find the heat added to the gas during this process. d. Find the change in entropy for the gas during this process.
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- 4.0 moles of krypton gas are in a 0.20m3 container. The pressure is 1.663 x 105 Pa. a, What is the temperature (to the nearest K)? The volume contracts to 0.10m3. The pressure is held constant. b, How much work was done by the gas during the volume contraction? c, What is the temperature after the volume contraction (to the nearest K)?Q2. A Quantity of O, gas at pressure 5 bar, volume 0.1m’, and temperature 1227 “C expand at constant temperature until its pressure is reduced to 1 bar. It is cooled at constant pressure to original volume. Find: The change of internal energy, the work done, the heat added or rejected during each process. (take Cp=1kJ/kg. K and ,u=32)a. Compute the specific heat capacity at constant volume of nitrogen (N2) gas. The molar mass of N2 is 28.0 g/mol. b. You warm 1.15 kg of water at a constant 1L volume from 20∘C to 30∘C in a kettle. For the same amount of heat, how many kilograms of 20∘C air would you be able to warm to 30∘C? Make the simplifying assumption that air is 100% N2. What volume would this air occupy at 20∘C and a pressure of 1 atm ?
- 1. Two moles of helium gas are placed in a cylindrical container with a piston. The gas is at room temperature 27 °C and under a pressure of 3.3.105 Pa. When the pressure from the outside is decreased, while keeping the temperature the same as the room temperature, the volume of the gas doubles. Use that the gas constant R = 8.31 J/(mol K). Think: What kind of process is this? Isobaric, isothermal, adiabatic, isochoric or non-quasi-static? (a) Find the work the external agent does on the gas in the process. W = ext. agent (b) Find the heat exchanged by the gas and indicate whether the gas takes in or gives up heat. Assume ideal gas behavior. Q= ✓J Q is realeased by gas Q is absorbed by the gas6. 3.00 moles of Argon, a monatomic ideal gas, occupies a volume of 12.0 L at a temperature equal to 25.0° C. The gas then undergoes an isobaric expansion to 16.0 L. What is the heat absorbed by the gas? a. 3.25 kJ b. 5.17 kJ с. 6.19 kJ d. 7.38 kJ е. 8.60 kJAn ideal diatomic gas initially has a pressure of 5 2.00x10^5Pa, a volume of 4.00m^3 and a temperature of 27 C . It has an adiabatic change in pressure to 6.00x10^5 Pa. a. What are the new volume and temperature? b. What is the change in internal energy of the gas?
- 5. A gas with volume V, pressure P, and temperature T is inside a container with a moveable piston. No gas is leaking from the container as the temperature of gas is quadrupled while the volume is doubled. What will be the new pressure? A. 2P B. P C. 1/2 P D. 8PAn ideal, monatomic gas is held in a cylinder by a piston. Its pressure, temperature and volume are 95.85 kPa, 17.90 °C and 25.30 m³. I It then undergoes a process where it new pressure and temperature become 97.85 kPa and 45.20 °C. Determine: i. the new volume Your Answer: Answer units1. The internal energy for a monatomic gas is equal to its total translational kinetic energy. 2 moles of Helium (monatomic gas, atomic mass = 4 u) are placed in a .1 m3 container and are at 60 kPa.a. Find the total translational kinetic energy?
- First Question: A. Using the definition of specific heat, the first law of thermodynamics and the ideal gas law, show that: (i) dQ = Cy dT +P dV, where Cy is the specific heat at constant volume, (ii) Cp = Cv + R, where Cp is the specific heat at constant pressure and R is the ideal gas constant. B. mol sample of hydrogen gas is heated at constant pressure from 300K to. 420K. Calculate (a) the energy transferred to the gas by heat, (b) the increase in its internal energy, and (c) the work done on the gas. %3D %3DThe heat engine shown in the figure uses 2.0 mol of a monatomic gas as the working substance. (Figure 1) Figure p (kPa) 600 400 200 0 0 0.025 0.050 V (m³) 1 of 1 Part A Determine T₁, T2, and T3. Enter your answers numerically separated by commas. Express your answer using two significant figures. T₁, T2, T3 = 600,1800,1200 K Submit Previous Answers Correct Part B4. Ideal Gas Type Question: A piston comprises two nested cylinders which are 3 cm and 2.8 cm in diameter with 0.1 cm thick walls and are each 1 m long. Initially, the smaller cylinder sits completely inside the larger cylinder and is filled with N2 at 20 °C and atmospheric pressure. a. C. The gas is slowly heated, while the cylinder is allowed to freely expand. What kind of process is this? banc b. The smaller cylinder has a total mass of 1.5 kg. What temperature does the gas need to be for the cylinder to become fully extended? The cylinder can withstand an internal pressure of 20 atm. What's the maximum weight it can lift? e. d. A 100 kg weight is dropped on the cylinder while it is fully extended, causing it to rapidly compress. What kind of process is this? If the cylinder is fully depressed by this event, what is the peak pressure? The adiabatic constant for N2 is 7/5. f. If the weight is dropped from 2 m, assuming 1% of its energy is converted into thermal energy in the gas,…