You have one mole of a monoatomic van der Waals gas that undergoes a free expansion from 1.0 x 10-3 m³ to 2.0 × 10-3 m³. What is the gas's change in temperature? The van der Waals' constant a is 0.14 N m*/moľ², and the gas's molar heat capacity at constant volume is 12.47 J/(K mol).
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- A 5.80-L vessel contains 3.60 moles of ideal gas at a pressure of 1.60 ✕ 106 Pa. (a) Find the temperature of the gas. K(b) Find the average kinetic energy of a gas molecule in the vessel. J(c) What additional information would you need if you were asked to find the average speed of a gas molecule?Two moles of nitrogen gas are contained in an enclosed cylinder with a movable piston at a temperature of 250 K, and the pressure is 1.10 x 10 N/m, If a half a mole of the gas leaks out, what is the new pressure assuming that the temperature and volume are maintained constant? (R- 8.31 J/mol-K) 1.80 x 10° N/m2 1.20 x 10° N/m2 78 x 10 N/m2 825x 10 N/m? $ 4 10 7 3 E R T Y] Q F G H D C B NI command つ のThe drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The cross-sectional area of the piston is A=2.5 x 10^-3 m^2. The initial pressure, volume, and temperature of the gas are, respectively, p0, v0= 6.00 x 10^-4 m^3 and t0=273 K , the spring is initially stretched by 0.095 m with respect to its unstrained length. The gas is heated, so that its final pressure, volume, and temperature are Pf, Vf, and Tf and the spring is stretched by an amount of 0.12 meters with respect to its unstrained length. What is the final temperature of the gas?
- A sealed 29.0-m3 tank is filled with 2,474 moles of oxygen gas (O2) at an initial temperature of 270 K. The gas is heated to a final temperature of 487 K. The ATOMIC mass of oxygen is 16.0 g/mol, and the ideal gas constant is R = 8.314 J/mol · K = 8.314 J/mol · K. The final pressure of the gas in kiloPascals is closest to7Suppose you have 1.05 moles of an ideal gas. What is the average kinetic energy of that gas (in units of kJ) if the temperature of the gas is 292.8K?
- A tank contains one mole of nitrogen gas at a pressure of 5.20 atm and a temperature of 24.5°C. The tank (which has a fixed volume) is heated until the pressure inside triples. What is the final temperature of the gas? °C (b)A cylinder with a moveable piston contains one mole of nitrogen, again at a pressure of 5.20 atm and a temperature of 24.5°C. Now, the cylinder is heated so that both the pressure inside and the volume of the cylinder double. What is the final temperature of the gas? °CA sealed 73 m tank is filled with 8000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 390 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in Sl units, is closest to: O 7.0 O 4.4 O 2.6 О 35 O 1.8The drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The cross-sectional area of the piston is A = 2.50 x 103 m². The initial pressure, volume, and temperature of the gas are, respectively, Po, Vo = 6.00 x 10-4 m³ and To = 273 K, and the spring is initially stretched by an amount xo = 0.096 m with respect to its unstrained length. The gas is heated, so that its final pressure, volume, and temperature are P₁, Vf and Tf and the spring is stretched by an amount x = 0.14 m with respect to its unstrained length. What is the final temperature of the gas? T₁= i --Piston
- An ideal gas with 3.00 mol is initially in state 1 with pressure p1 20.0 atm and volume V1 = 1500 cm3. First it is taken to state 2 with pressure p2 = 1.50p1 and volume V2 = 2.00V1.Then it is taken to state 3 with pressure p3 2.00p1 and volume V=3 0.500 V=1. What is the temperature of the gas in (a) state 1 and (b) state 2? (c)What is the net change in internal energy from state 1 to state 3?The total translational kinetic energy of the molecules of a sample of gas at 415 K is 17500 J. How many moles n does the sample comprise? mol n = Find the average translational kinetic energy Ky of a single molecule. J KavA rigid container holds 4.00 mol of a monatomic ideal gas that has temperature 300 K. The initial pressure of the gas is 6.00 * 104 Pa. What is the pressure after 6000 J of heat energy is added to the gas?