An isolated system contains an ideal gas with state parameters: U, T, S, P, V, M,...
(a) One mole of a monoatomic van der Waals gas obeys the equation of state A3. ) (V-b)=RT (p+ and its internal energy is expressed as U CvT where Cv is the molar isochoric heat capacity of an ideal gas. The gas is initially at pressure p and volume V (i) Explain the physical meaning of the parameters a and b in the equation of state of the gas (ii) Write down the equation that defines entropy in thermodynamics. Define...
Ten. moles of ideal gas (monatomic), in the initial state P1=10atm, T1=300K are taken round the following cycle: a. A reversible isothermal expansion to V=246 liters, and b. A reversible adiabatic process to P=10 atm c. A reversible isobaric compression to V=24.6 liters Calculate the change of work (w), heat (q), internal energy (U), and entropy (S) of the system for each process?
Isotherms Adiabatic process T. Figure 1 5. Given is the P-V diagram, a gas system from state is undergoing a thermodynamic process which lead to a different state f. Assume the gas is monoatomic and following the ideal gas condition ) Show that the, area under i-flineP 1-7 i) If the system contains 5 mol of this gas with an initially temperature of 293 1 m3 to Vi K. Calculate the work done by the system expanding from V -4m3...
Which of the following statements does not apply to the definition of an ideal gas? Group of answer choices a. Intermolecular interactions are negligible. b. The Gibbs free energy only depends upon the temperature. c. The enthalpy only depends upon the temperature. d. The internal energy only depends upon the temperature. e. None. The previous answers are all correct. Consider a solid substance. Which of the following expressions is wrong? Group of answer choices a. Internal energy increases when the...
What is the sign of AU as the system of ideal gas goes from point A to point B on the graph? (Hint the U is function of temperature only for a perfect gas) P (atm) 5 4 3 2 В 1 V (m3) 2 5 1 4 The states And B have the same internal energy, so delta U is zero The internal energy of the system increases, so delta U is positive The internal energy of the system...
Complete the following sentence: i) “When a change occurs, … remains constant but is dispersed in different ways.” ii) “For spontaneous change we look for …of the isolated system.” iii) “The entropy of an isolated system …spontaneous change.” iv) “Thermodynamically irreversible processes are … and must be accompanied by …” v) For a change from one state to another “The total energy of the system must …” vi) For spontaneous change “The total entropy of the system must …” vii) ...
1. Show that for a classical ideal gas, Q1 alnQ1 NK Hint: Start with the partition function for the classical ideal gas ( Q1) and use above equation to find the value of right-hand side and compare with the value of r we derive in the class. (Recall entropy you derived for classical gas) NK Making use of the fact that the Helmholtz free energy A (N, V, T) of a thermodynamic system is an extensive property of the system....
2. 10 points Consider a thermally isolated system consisting of two volumes of an ideal gas separated by a thermally conducting movable partition, which is initially fixed. Initially, the temperatures, pressures, and volumes of the two parts are P, V, T and 3P, 2V, and T respectively (see figure below). The partition is now allowed to move without gases mixing, until the equilibrium is reached. a) What is the change of the internal energy of the system after the equilibrium...
What is the sign of AU as the system of ideal gas goes from point A to point B on the graph? (Hint the U is function of temperature only for a perfect gas) p (atm) 4 3 2 B V (m3) 1 2 3 4 The states And B have the same internal energy, so delta U is zero The internal energy of the system increases, so delta U is positive The internal energy of the system decreases, so...
B.2 The multiplicity of a monatomic ideal gas is given by 2 = f(N)VN U3N/2, where V is the volume occupied by the gas, U its internal energy, N the number of particles in the gas and f(N) a complicated function of N. [2] (i) Show that the entropy S of this system is given by 3 S = Nkg In V + ŽNkg In U + g(N), where g(N) is some function of N. (ii) Define the temperature T...