Which equation correctly represents the total internal (thermal) energy of a monatomic gas with N particles? Hint: Watch the PCQ video on kinetic theory of gases. A. U = RT В. U %3 kgT C. U = NkgT ЗР D. U = 2V MINMINMIN
Q: Review I C- Part A A container holds 9 g of neon at a pressure of 5.0 atm and a temperature of 15…
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A: Given, Pressure = 1.6 atm Volume = 2.0 m3 Work done = P(V2-V1)
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A: Part A:
Q: One mole of oxygen gas is at a pressure of 5.05 atm and a temperature of 24.5°C. (a) If the gas is…
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Q: One mole of oxygen gas is at a pressure of 5.90 atm and a temperature of 24.5°C. (a) If the gas is…
A: number of moles of oxygen gas = 1 Initial pressure (P) = 5.90 atm Initial temperature (T) = 24.5oC =…
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Q: Calculate the temperature T of a sample of gas when the average translational kinetic energy of a…
A: given that Average translational kinetic energy=8.23 x 10-21 J Average translational kinetic energy…
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A: It is given that, V=2.70 cm3=2.70×10-6 m3T=20oC=293 KR=8.314 J/(mol.K)P=1.013×105 PaP'=1.60 ✕ 10-11…
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A: Given, Pressure. P1=6.85 atm, and temperature, T1=29.00 C=302.15 K.
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A: 1)average translational kinetic energy = 8.09 * 10-21 J
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A: (a) The volume of the gas is 1.4 cm3. The temperature is 20 degrees Celcius.
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- 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 ?There are lots of examples of ideal gases in the universe, and they exist in many different conditions. In this problem we will examine what the temperature of these various phenomena are. a. Give an expression for the temperature of an ideal gas in terms of pressure P, particle density per unit volume ρ, and fundamental constants. b. Near the surface of Venus, its atmosphere has a pressure fv= 95 times the pressure of Earth's atmosphere, and a particle density of around ρv = 1.1 × 1027 m-3. What is the temperature of Venus' atmosphere (in C) near the surface? c. The Orion nebula is one of the brightest diffuse nebulae in the sky (look for it in the winter, just below the three bright stars in Orion's belt). It is a very complicated mess of gas, dust, young star systems, and brown dwarfs, but let's estimate its temperature if we assume it is a uniform ideal gas. Assume it is a sphere of radius r = 4.7 × 1015 m (around 6 light years) with a total mass 4000 times the mass of the…Ideal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?
- A gas storage tank of fixed volume V contains N molecules of an ideal gas at temperature T. The pressure at kelvin temperature T is 20 MPa. molecules are removed and the temperature changed to 27T. What is the new pressure of the gas? O 10 MPa O B. 15 MPa OC. 30 MPa OD. 40 MPa1340 moles of monatomic helium gas, in a sealed chamber, has a total internal kinetic energy (all molecules collectively) of 4.20 x 10° Joules. The gas pressure is 10° Pa. a. What is the temperature of the gas? b. What is the average kinetic energy per molecule? c. What is the volume of the gas? d. What is the molar heat capacity at constant volume, C.? e. What is the rms speed of the molecules in the gas?A certain monatomic gas has specific heat Cv=0.0356 kcal/kg.Co, which changes little over a wide temperature range. What is the atomic mass of this gas? What gas is it?
- The Arhennius viscosity model describes how viscosity u depends on temperature 1: u = uo e E/RT 1 DVD DVD Here u is viscosity (Pa.s), I is the temperature (in "Kelvin), E is the activation energy (J mol¹), R is the universal gas constant (R = 8.3145 J mol¹¹ K¹) and U is a constant (Pa s). Ensure all your numerical answers are provided, accurate to 4 significant figures. Linearise this non-linear equation to allow the least squares fitting, i.e. write it in the form y = a + a₁x. Identify the independent (x) and dependent (y) variables and write the linearised equation in the answer boxes, clearly defining what ao and a₁ are equal to in terms of up, E and R. y: ao: a₁: X: IOHO OHO ManGiven the ideal gas law P V = k T, where k> 0 is a constant. We have the equation for V in terms of P and T. Finding the rate of change of the volume with respect to temperature at constant pressure, the interpretation of the result is: 1 Because this partial derivative is negative, the volume decreases as the temperature decreases at a fixed pressure. . 2. Because this partial derivative is negative, the volume increases as the temperature increases at a fixed pressure. 3. Because this partial derivative is positive, the volume increases as the temperature decreases at a fixed pressure. 4. Because this partial derivative is positive, the volume increases as the temperature increases at a fixed pressure.Suppose we have a macroscopic amount (~ moles) of argon gas in thermodynamic equilibrium at STP conditions. In this case, the velocities of the gas atoms follow the Maxwell and Boltzmann distribution with very good accuracy. Which of the following statements is/are true? Select one or more: a. When heating a gas, the ratio of the average speed of the molecules to the most probable speed increases. b.Heating the gas would lead to a shift of the most probable speed of the momentum distribution to a lower value, while the relative number of high-speed atoms would increase. c. Replacing argon atoms with helium atoms would lead to a momentum distribution in equilibrium, the most probable momentum of which would shift to a higher value and the relative number of high-speed atoms would increase.
- A cylinder in a car engine takes V1 = 0.045 m3 of air into the chamber at 300 C and at 1 atm pressure. The piston then compresses the air to one-ninth (V1/9) of the original volume and to 20 times (20 P1 ). A. What would be the new temperature if the pressure was constant?I just need help with part D Problem 6: There are lots of examples of ideal gases in the universe, and they exist in many different conditions. In this problem we will examine what the temperature of these various phenomena are. Part (a) Give an expression for the temperature of an ideal gas in terms of pressure P, particle density per unit volume ρ, and fundamental constants. Answer: T = P/( ρ kB ) Part (b) Near the surface of Venus, its atmosphere has a pressure fv= 96 times the pressure of Earth's atmosphere, and a particle density of around ρv = 0.92 × 1027 m-3. What is the temperature of Venus' atmosphere (in C) near the surface? Answer: Tv = 490.55 Part (c) The Orion nebula is one of the brightest diffuse nebulae in the sky (look for it in the winter, just below the three bright stars in Orion's belt). It is a very complicated mess of gas, dust, young star systems, and brown dwarfs, but let's estimate its temperature if we assume it is a uniform ideal gas. Assume it is a…Please answer all parts: Problem 3: There are lots of examples of ideal gases in the universe, and they exist in many different conditions. In this problem we will examine what the temperature of these various phenomena are. Part (a) Give an expression for the temperature of an ideal gas in terms of pressure P, particle density per unit volume ρ, and fundamental constants. T = ______ Part (b) Near the surface of Venus, its atmosphere has a pressure fv= 91 times the pressure of Earth's atmosphere, and a particle density of around ρv = 0.91 × 1027 m-3. What is the temperature of Venus' atmosphere (in C) near the surface? Part (c) The Orion nebula is one of the brightest diffuse nebulae in the sky (look for it in the winter, just below the three bright stars in Orion's belt). It is a very complicated mess of gas, dust, young star systems, and brown dwarfs, but let's estimate its temperature if we assume it is a uniform ideal gas. Assume it is a sphere of radius r = 5.7 × 1015 m…