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① Use the ideal gas how to obtain the three functions, P= f(V,T), V = 9 (P.1), T = h (PU). Show that the cyclic rul...
Gsul Chemistry Reone woonington. Phys chem 341 2nd midterm © Use the ideal gas how to obtain the three functions, P = f (V, T), v =g(P,T), T=h(pu). show that the cyclic rule (2), (), (3), = -1 Calculate the isobatic Volumetric themel expansion coefficient and the isothermal Compressibility, respectively. de fitned by x=+ , k = 1 1 2 3 for an ideal gas at 298 K and 1.00 bar L.
Figure 2.4 shows a cyclic path in the P -V diagram of an ideal gas. The result is that the net work done on the gas is the negative of the area enclosed by the path . Assume that the gas is ideal with N particles and calculate the energy transfer by heating in each step of the process. Then explain why the net work done on the gas is negative and show that the net change of the internal...
pressure (p) of an ideal gas is (n/v) 9. Pressure (P) of an Ideal gas is (a) 5/2 (N/V) (W/2mv2) (b) 2/3 (N/V) (1/2mv2) 3/2 (N/V) (1/2mv2) (d) None
Derive F, P,U, and Cv in terms of N, V, T and constants for the Ideal Gas partition function Q(N,V,T) = V^N / (L^(3N)*N!), where L = h/sqrt(2*pi*m*kB*T)
Obtain heat q and work w given to an ideal gas (1 moD system and the ehange of the internal energy Au in the following processes. Heat capacity at constant volume, G, of the gas does not 1. AU in t A reversible isothermal expansion from (P. V.,T) to (P, V, r). reversibly at constant volume from (Pvv2,T) to (p,y, ) depend on temperature. a) b) A reversible adiabatic expansion from (P, V.T) to (P, V, T2) and then heating...
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....
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...
2) Next week, we will show that the partition function for a monatomic ideal gas is given by Q(N,V,T) - 1 ( 2mk,T 30/2 ? N 422) VN where m is the mass of the gas molecules and h is Planck's constant. Derive expressions for the pressure and energy from this partition function.
Show how to graph please. Graph the function f(t)=3t(h(t−4)−h(t−9)) for 0≤t<∞0≤t<∞. Use your graph to write this function piecewise as follows: 3t(h(t−4)−h(t−9))={ if 0≤t<4,0≤t<4, if 4≤t<9,4≤t<9, if 9≤t<∞.9≤t<∞. Evaluate f(6.5) f(6.5)= a Graph the function f(t) = 3t(h(t-4) _ h(t-9)) for 0 < t < oo. Use your graph to write this function piecewise as follows: 3t(h(t -4) h(t 9)) if9<t<oo. help (formulas) b. Evaluate f(6.5) f(6.5) help (formulas)
1. (a) In a different galaxy far from ours, let us assume that the "ideal" gas laws are as follows: (i) At constant temperature, pressure is inversely proportional to the square volume. (ii) At constant pressure, the volume varies directly with the temperature to power. (ii) At 273.16 K and 1 atm pressure, one mole of an "ideal" gas is found to occupy 22.414 liters. Under these conditions, show that pT constant, and obtain the form of the "ideal" gas...