A system of non-interacting Fermi gas with internal energy 'U' at a temperature 'T' is OP = U÷2V OP = 2U÷3V OP = 3U÷2V OP = 3U+5V
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- The number density of gas atoms at a certain location in the space above our planet is about 1.40 ✕ 1011 m−3, and the pressure is 1.10 ✕ 10−10 N/m2 in this space. What is the temperature (in °C) there?A 5 L tank contains Argon gas at 55°C and 4.5 atm. Find the total translational kinetic energy of all the Argon atoms in the tank. 1 atm = 1.013 x 10^5 Pa 1 L = 10^-3 m^3 R= 8.314 J/K-mol Molar mass of Argon= 40 Kb=1.38 x 10 ^-23 J/KA gas bottle contains 4.64×10²³ Hydrogen molecules at a temperature of 384.0 K. What is the thermal energy of the gas? (You might need to know Boltzmann's constant: kg = 1.38×10-23 J/K.) Submit Answer Tries 0/12 How much energy is stored in ONE degree of freedom for the whole system? Tries 0/12 What is the average energy of a single molecule? Submit Answer Tries 0/12 On average how much energy is stored by ONE degree of freedom for ONE single molecule? Submit Answer Tries 0/12 Submit Answer
- Yusheng and Dominic determine the root-mean-square speed (thermal speed) of the molecules of a gas to be 200 m/s at a temperature 23.0°C. What is the mass of the individual molecules? The Boltzmann constant is 1.38 x 10-23 J/K. 2.45 x 10-25 kg 5.66 x 10-25 kg 3.11 x 10-25 kg 2.13 x 10-25 kg1. An expensive vacuum system can achieve a pressure as low as 1 x 10-7N/m² at 20 °C. How many atoms are there in a cubic centimeter at this pressure and temperature? The Boltzman's constant k= 1.38 x 10 m²kg/(s²K) -23 Number of atoms:1. (a) What is the average kinetic energy in joules of a hydrogen atom on the 5500 °C surface of the Sun? The Boltzmann's constant is k=1.38×10-23 J/K J KE av (b) What is the average kinetic energy of a helium atom in a region of the solar corona where the temperature is 6 x 105⁰K? KE Fav J
- A sample of argon gas is in a container at 35.0° C and 1.22 atm pressure. The radius of an argon atom (assumed spherical) is 0.710 x 10-10 m. calculate the available volume for each atom.8. The average energy of a mole of Einstein solid is given by: ӨЕ 3R0E Ē = 3R + 2 ӨЕ ет — 1 where E is the Einstein temperature and R the gas constant. Obtain expressions for the average energy at the limits of zero and infinite temperature and comment on your results.Problem 3. The viral coefficients of a gas at 20 °C and 11.5 bar are B = -138 cm³ mol¹ and C=7222 cmº mol². Calculate the V (molar volume) Z (compressibility factor) of the gas. Use the equation below (R = 83.14 cm³ bar mol-¹ K-¹). PV 2 = ² = (1 + = + =) Z RT
- The principle behind hydraulic lift is Pascal's law, which of the following is its mathematical statement? O TK =T+273.15K O AL= aLoAT dQ AS = 1 |9192| 4 TEO dU = dQ – dW or AU = Q- W Q = MCAT F P= A O Fb = P fluidgV submerged Ορ-m/V V2 W = dVAccording to the Ideal Gas Law, PV = kT, where P is pressure, Vis volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine the EXACT value of k.An ideal gas at 7°C is in a spherical flexible container having a radius of 1.04 cm. The gas is heated at constant pressure to 88°C. Determine the radius of the spherical container after the gas is heated. [Volume of a sphere = (4/3)?r3.]