4) Consider a substance that undergoes a phase transition at To=300K and pressure Po=5bar. The Gibbs free energy per mole at constant pressure and temperature near the transition is shown below. G (kJ/mol) a) What type of phase transition is 600 this? Why? 400 200 P (bar) 4 10 b) From the figure, estimate the difference in volume AV between the two phases.
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- A sample of 2.37 moles of an ideal diatomic gas experiences a temperature increase of 65.2 K at constant volume. Find the increase in internal energy if translational, rotational, and vibrational motions are possible.An ideal gas, initially at a pressure of 11.6 atm and a temperature of 297 K, is allowed to expand adiabatically until its volume doubles. What is the gas's final temperature, in kelvin, if the gas is monatomic? What is the gas' final pressure, in atmospheres, if the gas is diatomic?Problem 1: Gibbs free energy Derive the thermodynamic identity for G, where G = U + PV – TS, derive the three partial гaG derivative relations, S = - and u = P.N т.N
- Cp and Cy are specific heats at constant pressure and constant volume, respectively. It is observed that P C₁ Cv = a for hydrogen gas C₂ - Cy = b for nitrogen gas. The correct relation between a and b is - Cy р (2017 Main) 1 (a) a = b (b) a = 14b (c) a = 28b - b 14 (d) a =A 0.617 mol sample of Xe(g) initially at 298 K and 1.00 atm is held at constant volume while enough heat is applied to raise the temperature of the gas by 14.9 K. Assuming ideal gas behavior, calculate the amount of heat (?)in joules required to affect this temperature change and the total change in internal energy, Δ?. Note that some books use Δ? as the symbol for internal energy instead of Δ?. Type of gas Molar heat capacity at constant volume (??,?) atoms (3/2)? linear molecules (5/2)? nonlinear molecules 3? where ? is the ideal gas constantThe total translational kinetic energy of the molecules of a sample of gas at 455 K is 10500 J. How many moles n does the sample comprise? n = mol Find the average translational kinetic energy Kav of a single molecule. Kay = J
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- A sample of monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (pointA in the figure). It is heated at constant volume to 3.00 atm (point B). Then it is allowed toexpand isothermally to 1.00 atm (point C) and at last compressed isobarically to its originalstate. a.) Find the number of moles in the sample. b.) Find the temperature at points B andC and the volume at point C. c.) Find Q, W and U for each of the processes. d.) For thewhole cycle find Q, W and U. For monatomic gases, use Cv=3/2Ra) Calculate the mean free path in meters of a nitrogen molecule (with a mass m=4.68×10¬26 kg) located in Earth's atmosphere at sea level. Assume a temperature of T=300 K and a number density of particles of 1019 cm-3. b) Assuming that the collision cross-section of the molecule is o = 2x10-10 frequency v in Hertz and the time between collisions t in seconds. m, compute the collisionAn ideal gas consists of 2.50 mol of diatomic molecules that rotate but do not oscillate. The molecular diameter is 118 pm. The gas is expanded at a constant pressure of 1.79 x 105 Pa, with a transfer of 150 J as heat. What is the change in the mean free path of the molecules?