Write the steps otherwise points will be reduced. (1) Let P=nRT V-nb Find the following: a)...
2. Derive an expression for (as) for a gas with the equation of state: P(V-nB) = nRT, where B is a constant. 2. Derive an expression for (as) for a gas with the equation of state: P(V-nB) = nRT, where B is a constant.
For a Van der Waals gas, the following equations hold. P = nRT/(V−nb) − a(n/V)2 dU = CV dT + a(n/V)2 dV For chlorine gas, CV,m = 25.6 J K−1 mol−1, a = 6.343 bar L2 mol−2, and b = 0.0542 L mol−1. Calculate q, w, ΔU, and ΔH, in joules, when one mole of chlorine gas is expanded isothermally and reversibly at 449 K from 7.0 L to 15.0 L.
Van der Waals equation of state is (P+(n2a)/V2)(V-nb)=nRT where a and b are temperature-independent parameters that have different values for each gas. For CO2, a=0.3640 Pa m6/mol2 and b=4.267*10-5 m3/mol a) Write this equation as a cubic equation in V
If P = nRT/(V-n), then which of the following is false? A. PV = nRT + Pn B. 0 = RT + P – PV/n C. V = nPRT + nP2 D. 1 = nRT/PV + n/V E. V = (nRT/P) + n
1. A gas (1.00 mol) obeying the following equation of state (EOS) is compressed from P = 1.00 atm to P = 2.00 atm isothermally (300K) and reversibly: nRT P = v nb (a) (5 points) Calculate the entropy change, AS. (b) (10 points) Calculate the amount of heat () and work (w) involved. What does the total energy change (AU) tell you about the internal energy of this system?
0, otherwise Let f(x,y)= 3. Sketch the region of integration Find k. Find P(X |Y 1/4) Find P(X |Y=1/4) a. b. c. d.
Using the formula PV = nRT and the following given information: P = 0.520 atm (H2) V = 30.0 mL R = 0.69 T = 22.1 degrees Celsius find the number of Hydrogen moles produced
5. (10 points) Let p="x < y", q="x < 1", and r="y > 0". Using ~, 1, V write the following statements in terms of the symbols p, q, and r. (a) 0 <y < x < 1. (b) 1 < x <y<0.
3. Let X has the following pdf: {. -1 <1 fx(a) otherwise 1. Find the pdf of U X2. 2. Find the pdf of W X
0, otherwise Let f(x,y)= 2. a. Sketch the region of integration b. Find k c. Find the marginal density of X d. Find the marginal density of Y e. Find P(Y > 0/X = 0.50) 0, otherwise Let f(x,y)= 2. a. Sketch the region of integration b. Find k c. Find the marginal density of X d. Find the marginal density of Y e. Find P(Y > 0/X = 0.50)