Numerade

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1. The following is a list of statements/question that needs to be matched with an answer using the keyword, you can use one keyword more than one, while not all the responses need to be used. 3 points per question (24) Statement If you have a two-phase vapor and liquid mixture in equilibrium, then the following identity is always true: y₁+x₁ = 1 Phase transitions (from gas to liquid or vice versa) for a mixture occur at constant pressure and temperature The bubble point pressure for a specified mixture at a given T can be defined as The unknowns to be solved for in a Flash type calculation are Ternary diagrams represent phase equilibria of 3 components at a fixed pressure and temperature When looking at the distribution of methane between gas and liquid phases the composition of methane in the gas phase is ... For any mixture at any given pressure if two phases exist At a given p and T the ki for methane is smaller than for n-decane Answers (A-N) Answers (to match) Keyword Constant volume A Lower than in the liquid phase B True C Constant pressure D The lowest pressure at which a single liquid phase exist for a specified temperature E False G Higher than in the liquid phase H Vapor pressures and gas and liquid compositions I Molar fraction of vapor (or liquid) and equilibrium gas and liquid compositions K Lower than in the liquid phase L The bubble point temperature is lower than the dew point temperature M If depends on p and T N

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Question 3. (25 points) A t-shirt manufacturer makes prints on the t-shirts in his workshop. There are two print machines with equivalent properties. T-shirts arrive at the printing workshop and after the print operation they go to the depot. a) (15 points) The manufacturer collected data on service and interarrival times during the full working day for 5 days and recorded the time a t-shirt spends in the system. He gives you these data exactly as it is. You use the data obtained from a given date – as it is (without using input distributions) to simulate that day and record the average system time for t-shirts. Table below contains the average system time for the real system and for the simulation for each day. Check the validity of the model. Input Set Real System Simulation Output No Average system time (seconds) Average system time (seconds) 1 897.208 883.150 2 629.126 630.550 3 735.229 741.420 4 797.263 788.230 5 825.430 814.190 b) (10 points) Now assume that you calculate the real system time as the average of the above observations (776.85 seconds). You built a simulation model using this information. You made 5 replications with your model and obtained 885.20, 685.50, 801.88, 750.98 ve 825.30 minutes as the average system time. If a difference of 10 minutes is important, test the validity of your model.

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3. Cranial nerves can be evaluated using all of the following except a. facial droop b. eye movements c. grip strength d. slurred speech

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The most typical symptom of psychiatric patients suffering from shell shock in WWI was

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QUESTION 22 What do structuralism, Gestalt psychology, and Sigmund Freud all have in common? They were all concerned with describing and understanding animal behavior. They were all concerned with describing and understanding the inner experience. They were all concerned with diagnosing and treating female psychosis. They were all concerned with the nature of evil during the Nazi regime.

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QUESTION 7 Joint Distribution (discrete), E(XY) and Covariance The joint distribution of X and Y (discrete ranom variables) is given in the table below -2 0 2 0 0.00 0.10 0.05 1 0.05 0.15 0.10 2 3 0.10 0.05 0.10 0.10 0.15 0.05 a) Find the marginal distributions of X and Y, as well as their expected values $\mu_x = E(X)$ and $\mu_y = E(Y)$. b) Find $\mu_{xy} = E(XY)$ and Covariance(X,Y) [Optional: also find the correlation coefficient: $\rho = \frac{Cov(X,Y)}{\sigma_x \sigma_y}$]

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The graph of the function $y = 3x^2 - 4x - 7$ is given to the right. Use the graph to predict the number of real zeros and the number of imaginary zeros. Predict the number of real zeros and the number of imaginary zeros. Choose the correct answer below. Two real zeros One real zero and one imaginary zero Two imaginary zeros One real zero

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Question 14: 6 Marks Compute all the minors and co-factors of $\begin{bmatrix} 1 & 2 & -2 \ -1 & 0 & 1 \ 2 & -2 & -1 \end{bmatrix}$ Question 15: 4 Marks Use Cramer's rule to solve for y without solving for x, z and w in the system $\begin{cases} 2w + x + y + z = 3 \ -8w - 7x - 3y + 5z = -3 \ w + 4x + y + z = 6 \ w + 3x + 7y - z = 1 \end{cases}$

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(10%) Problem 2: The gap between the plates of a parallel-plate capacitor is filled with three equal-thickness layers of mica, paper, and a material of unknown dielectric constant. The area of each plate is $110 \text{ cm}^2$ and the capacitor's gap width is 3.25 mm. The values of the known dielectric constants are $K_{mica} = 5.5$ and $K_{paper} = 3.5$. The capacitance is measured and found to be 105 pF.

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The pH of a 0.080 M solution of monoprotic optimistic acid is 4.12. Calculate the $K_a$ of the acid. (1) $8.45 \times 10^{-6}$ (2) $5.6 \times 10^{-10}$ (3) $1.88 \times 10^{-5}$ (4) $7.20 \times 10^{-8}$

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alicia d.