Use the van der Waals Eq. in terms of reduced quantities to derive the condition for...
Use the van der Waals Eq. in terms of reduced quantities to derive the condition for Z > 1, and Z < 1, respectively. Use an expression of TR in terms of VR.
Example 4.6 The fugacity of a van der Waals gas Using the expression for the compressibility factor Z of a van der Waals gas given in equa- tion 1.26, what is the expression for fugacity of a van der Waals gas? As an approximation, terms in P2 and higher in the series expansion are omitted 2-1-0-(0)0r P RT RT Z In P dP P C'P 1 dP RTRT a b P a b RT RT 1Forfe-r a f P exp...
(1). Show that the van der Waals equation leads to values of Z (compressibility factor) < 1 and Z> 1, and identify the conditions, t is, how the temperature T is related to the molar volume V for which these values are obtained? (20 pts)
< Question 4 of 30 Attempt 2 Use the van der Waals equation of state to calculate the pressure P of 3.50 mol of CH, at 489 K in a 5.20 L vessel. Use this list of van der Waals constants. P= 26.8 atm Use the ideal gas equation to calculate the pressure P under the same conditions. 10:19 PM 7/30/2020 < IUL ub e . 3 Question 4 of 30 > Attempt 2 P= 26.8 atm Use the ideal...
14-5. Using Eqs. (14-14) and (14-17), calculate the van der Waals constants a and b for nitrogen. For u(r), assume a Lennard-Jones 6-12 potential with ε and σ given in Table 12-3. Compare these calculated values to the experimentally determined values, a 1.39 x 106 cm atm/mole and b-39.1 cm/mole. Such poor agreement is quite typical, simply indi- cating the inadequacy of the van der Waals equation. 14-2 THE VAN DER WAALS EQUATION We start with Eq. (14-3), and take...
1. Consider the problem of steady state heat flow in the half-plane, 22T a2T + ar2 =0 for ER and y>0, ay2 subject to the boundary condition T(3,0) = g(x), and T +0 as yo. You will solve the problem using the Fourier transform in 2, with T(w,y) = ZELT(, y)e-iw= ds 2 (a) Derive an ODE for T. You can assume T +0 as|a . (b) Derive conditions for I at y = 0 and as y. You can...
Please use the big M method to solve the following linear program. Write down all tableau, note basic variables and nonbasic variables. Use slack and artificial variables. Construct your tableau iterations using the standard form of the program. For example first line z+2x1-2x2+2x3=0. If possible, STATE THE OPTIMAL SOLUTION AND THE OPTIMAL VALUE. Otherwise state why you cannot find them. Consider the following linear program: 2x3 max z= –2x1 + s.t. + -x1 21 > 0, 2x2 - 2x2 +...
Dot Product To use the dot product to find the components of forces acting in arbitrary directions. A three-legged structure is shown below. It is attached to the ground at points B (4.92, 0, 0) and (-4.92, 0, 0) and connected to the ceiling at point A = (-5.42 3.46 4.76) The three legs connect at point D- (0,2.62, 4.00), where two forces, F and P, act. Force F is given by F 5.00 i 12.0j +24.8 k N; P...
2. In this problem, we will consider the use of the active filter shown below as the loop filter in an analog PLL. IN VouT (a) Use the ideal model for the op-amp to show that the filter transfer function is F(s)Yot)ST2 +1 Vin(s) ST1 and express the time contants T1 and T2 in terms of R1, R2 and C. Sketch the magnitude Bode plot of the frequency response F(f) for the loop filter, assuming that > T2 Please note:...
could you please solve a and b? Chapier 2i. Note: you needn't derive Kepler's laws-but do mention when you are using them, an describe the physical concepts involved and the meanings behind the variables. u) Consider two stars Mi and M; bound together by their mutual gravitational force (and isolated from other forces) moving in elliptical orbits (of eccentricity e and semi-major axes ai and az) at distances 11 in n and r from their center of mass located at...