Questions asked
3. Using the thermodynamic equation of state for the van der Waals gas a. Evaluate (∂ U ∂V )T b. Assume 2 moles of a van der Waals’ gas is allowed to expand isothermally at 298 K from 0.5 L to 10 L. This van der Waals gas (similar to oxygen) is described by b = 0.0318 L/mol, a = 1.37 L2.bar/mol2 , and Cv,m = 5R/2. What is the change in the internal energy of the gas (in Joules) for this process? c. Compare this result with that of an ideal gas. d. What are the values of q and w for the reversible process in Joules? 4. The standard reaction enthalpies at 298 K for the following reactions are given below.
In a G-75 column (Max = 70 KD), Proteins of molecular weights, 24KD, 83 KD, 12 KD, 36 KD, 120 KD are loaded on to the column. Give the order of elution from first to last.
Individuals who see themselves as worthwhile, capable, and acceptable have high self-efficacy. an external locus of control. high self-esteem. high extraversion.
8) \begin{tabular}{|c|c|c|c|c|} \hline $x_i$ & 1.0 & 1.5 & 2.0 & 2.5 \\ \hline $y_i$ & 8.0 & 7.5 & 12.0 & 14.0 \\ \hline \end{tabular} Using the least squares method, find an exponential function of the form $y = be^{ax}$ which best fits all the data points in the table. Then $a \approx$ ? (A) $a \approx 0.43$ (B) $a \approx 1.51$ (C) $a \approx 1.27$ (D) $a \approx 1.88$
What will be the pressure difference between points A and B? X = 134 mm & Y = 62 mm. $\rho_{air}$ = 1.23 kg m$^{-3}$ and $\rho_{water}$ = 1000 kg m$^{-3}$ (marks 5)
(10 points) An investment bank would like to help Company P-Couple to underwrite a new 5-year 6% semi-annual coupon payment bond and refers to the similar credit quality bonds in the matrix below to set the required yield and issue price. Coupon Time to maturity 4% Coupon 5% Coupon 6% Coupon 7% Coupon 8% Bond AA: 3 years 104.75 2.3509% Bond CC: 115.35 2.6440% 4 years We-Date 5 years P-Couple Bond XX: 6 years 104.50 4.1452% 7 years Bond YY: 97.35 4.4447% Bond ZZ: 112.15 4.9267% (A) (7 points) What should the required yield and issue price of P-Couple bond be set by the investment bank to align the market expectation? (B) (3 points) An investment manager, Benjamin manages a fixed-income portfolio for a fund and its current average yield is 3.2550%. He has been looking for bonds with yields higher than the current average yield of the portfolio. Should he considers to add the 5% Bond We-Date paying semi-annual coupons and maturing in 4-year into the portfolio?
1)Find the limit.\\ $\lim_{x \to -1^+} \left(\frac{2x}{x+2}\right) \left(\frac{5x+7}{x^2+9x}\right)$
3. What polynomial multiplied by \(x + 6\) equals \(x^2 + 12x + 36\)?
Test I. Find the norm and unit vector of the following vectors: 1. x = [5, -3, \frac{1}{4}, 2, -1] 2. x = [-2, 3, -6, \frac{2}{3}] 3. x = [-10, -2, 0, 8, 4] 4. x = [6, 0, -3, 9] 5. x = [\frac{1}{3}, -2, 5, \frac{1}{4}, 3, 0]
(a) Use row reduction to evaluate the determinant of the matrix, $B = \begin{bmatrix} 2 & 5 & 1 & 4 \\ 4 & 1 & 6 & 3 \\ 5 & 3 & 7 & 2 \\ 1 & 0 & 2 & 4 \end{bmatrix}$
