derive an expression for the entropy of mixing as a
function of Xi






3. Consider the entropy as a function of temperature and pressure. Derive an expression for the change in entropy in terms of parameters such as Cp, a, K, T, and V.
9.3.C Derive an expression for the molar excess enthalpy of mixing of a mixture described by a molar excess Gibbs free energy of the form (9.144) where the constants Azi and A1 are independent of temperature.
c. Derive the following expression Using the expression in part c, derive an expression for terms of only Rand P. d. ASof an ideal gas in How does the molar entropy change with increasing pressure for an ideal gas? Justify you answer using the result in part d e.
2. Take the entropy to be a function of the independent variables T and V. For the van der Waals gas, derive an expression for the entropy as a function of volume at a given (fixed) temperature. Hint: You will want to take advantage of Maxwell's relations. Your answer will contain an undetermined constant of integration.
(20 pts) Derive the expression for the necessary magnetic flux ( function of am, for as a operation of a DC motor in the constant power region. Recall that you can find the maximum power of the motor at the base speed. Your expression for ø should only be in terms of am, the base speed ob, and the maximum magnetic flux dmax. Note that the maximum torque is not a necessary parameter for determining the needed expression
(20 pts)...
Using the partition function , where , derive an expression for the
magnetization M of a paramagnet consisting of N atoms, each with
total angular momentum J. Use the formula,
2.26 Derive the simplest POS expression for the function of f = (Ti + T3 + 14) T2 + T3 + x4) 11 + 12 +13)
Qc) Consider the following function F. х Y F N a) Derive the expression for the function F (Do not simplify F). b) Construct the truth table of F. c) Find expression for complement of F, F'.
For the general case, derive an expression to calculate the fraction dissociated, fd, as a function of pH and pKa, with fd defined as: fd = [A-] / [A-] + [AH] Hint: First use the Henderson-Hasselbalch equation to write an expression for [AH] in terms of [A-]. Use this expression to replace [AH] in the equation above and simplify. Henderson-Hasselbalch: pH - pKa = log [A-]/[AH]
Compressible aerodynamics. Derive an expression for Cp that is a function of gamma and R only. Where gamma is the specific heat ratio, R is the gas constant, and Cp is the pressure coefficient.