Problem 2 dH-d(U + PV) = dU + PdV +Vdp = TdS +Vdp ㈜,-을 and㈜T,I㈜rl Pr ove that: Starting from:...
9. Derive the equation dH = TDS + VdP and show tha ASm = Cp.m In 2 - R In For the change of one mole of an ideal gas from Tu, P, to T2, P, assuming that Cp,m is independent of temperature. (Hint: Start from dU = Tds - pdV and consider what you need to add to both sides to get an expression for dH on the left side).
A=U-TS is Helmholtz free energy, which is commonly used in statistical thermodynamics. Starting from dU=TdS-pdV, show that dA=-SdT-pdV
2.) As in problem 1, show that a. dH = Tds + VdP b. Aš = C, In - Rin for an ideal gas 3.) Ethene may be regarded as an ideal gas and its heat capac regarded as an ideal gas and its heat capacity is temperature dependent according to 7 (T) = 16.4104R-008. a. Confirm that 38.75 J K is the value for the entropy change of heating one mol of ethane from 300 to 600K at constant...
au du atua = 90, дх with the initial conditions at t = 0: u=0 if u=-1-1 u=1 - << -1, if -1 <I<0, if 0 < I< 0. (Define u(r, t), x,t and the constant qo appropriately.) (b) Use the method of characteristics along suitable curves r(t) to obtain the implicit equation satisfied by the general solution ur,t) of the PDE given in the first problem (do not have to use the initial conditions at this stage, so there...
Solve the IBVP wave equation. d^2/dt^2=16d^2/dx^2 0<x<pi u(x,0)=sinx du(x,0)/dt=0 u(0,t)=u(pi,t) =0 t>0
slove the system eqution: d^3y(t)/dt^3 - 2 d^2y(t)/dt^2 - 5 dy(t)/dt +6 y(t) = 2 d^2u(t)/dt^2 +du(t)/dt +u(t) A) compute the transfer function Y(s)/U(s)? B)Find inverse Laplace for y(t) and x(t)? C) find the final value of the system? D)find the initial value of the system? Please solve clearly with steps.
10. Given the following table: Compound NO: (g) N:O (g) AHP (J mol) AGP (J mol) 51.84 33.85 9.66 98.29 For the reaction: N:Oa (g) eo 2NO: (g) (a) Use the information in the Table to calculate AG for the reaction (b) Use the information in the Table to calculate AH" for the reaction (c) Calculate K, at 25 C. (d) Calculate K, at 1600 °C. (Assume AH to be temperature independent) (e) Calculate the degree of dissociation, a, of...
2/2 Problem 2 Suppose that the map T: D C R2R2 (u, v) T(u, v)- (TI(u, v), T2(u, v)) defines a change of variables whose Jacobian satisfies J(T) (u, v)1 for l (u, v) E D If R C D is a region whose area is 4, then what is the area of the region T(R) T(u, v)(u, v) E R? 5 marks 2/2 Problem 2 Suppose that the map T: D C R2R2 (u, v) T(u, v)- (TI(u, v),...
Molecular Formula: C H I le (1 pt) 1. Unknown# A-pt) 2. DU (IHD): Show calculation(2 pts) 을 Comments on IHD: (Ipt) One Picor ơne ring 3. Report IR analysis here. Tabulate (5 pts) Region Absorption, cm -1 Functional group Base Value Give as a range. Read from correlation chart. (Exact number read from IR 4000-3000 cm 3000-2500 2500-1700 cm 1700-1500 cm 1500-400 cm 1 4 Explain any IR special features in this box (2 pts) (Symmetry, conjugation, resonance, H-bonding,...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25) (a) Develop a state space model for this transfer function, in the standard form x˙ = Ax + Bu y = Cx + Du (b) Suppose that zero input is applied, such that u = 0. Perform a modal analysis of the state response for this open-loop system. Your...