Numerade

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Given 1 mole of an ideal gas with an initial P = 10 atm and T = 300K. This gas undergoes an isothermal expansion that decreases the pressure to a final value of 1 atm. a) Use the ideal gas law to find the initial volume in liters (L) using R = 8.3144 J/mol-K and 1 L-atm = 101.3 J WMT 3200 1 Homework Assignment #4 3 b) Use the ideal gas law to find the final volume in liters (L) using R = 8.3144 J/mol-K and 1 L-atm = 101.3 J 3

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CH3ONa should not be used for Claisen condensation of ethylbutanoate because it is too strong of a base and will do 1,2 addition it will create a tertiary alcohol at the carbonyl carbon it is too weak of a base and it will do 1,4 addition it will result in transesterification

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Which of the following vibrations are IR-active? Select all that apply. The C-C stretching in H$_3$C-CH$_3$ The C-C stretching in H$_3$C-CCl$_3$ The symmetric stretching in SO$_2$ The C-H stretching in which each H is stretched farther from the C=C in H$_2$C=CH$_2$ The C-H stretching in which the two H on the left side are stretched farther from the C=C, while the two H on the right side are compressed inward toward the C=C in H$_2$C=CH$_2$

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If a firm in a perfectly competitive industry raises its price above the market price _____. sales will stay the same. sales will drop to zero. sales will rise slightly. all other firms in the industry will follow.

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Where would a researcher find the most Lambda DNA containing a gene of interest? Within a medium that grows viruses In the bacterial lawn In the plasmid of E. coli In isolated colonies of bacteria In the plaquesWhat do gel electrophoresis and recombinant DNA technology have in common? They both use an electrical current to move the DNA. They both use restriction enzymes to cut the DNA. They both make use of sticky ends. They both insert plasmids into cells. They both use a buffer to hybridize DNA.

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3. Determine the particular solution to the following initial value problem. $\frac{dy}{dx} = 3x^2e^y, y(0) = 1$ $\int 3x^2 dx = \int e^{-y} dy$ $ln x^3 = -y$ $ln x = -y$ $-y = ln(x^3 + c)$ $1 = ln c$ $c = e$ $y = -ln(x^3 + e)$ 4. Determine the general solutions to the following differential equation. $\frac{dy}{dx} + y cos x = xe^{-sin x}$ $I(x) = e^{\int cos x dx} = e^{sin x}$ $e^{sin x} (\frac{dy}{dx} + ye^{sin x}) = e^{sin x}(xe^{-sin x})$ $\frac{d}{dx}(e^{sin x} y) = x$ $e^{sin x} y = \int x dx$ $e^{sin x} y = \frac{x^2}{2} + c$ $y = \frac{x^2}{2e^{sin x}} + c$

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In her application for insurance on her own life, Dolores understated her age by two years in order to obtain a lower rate. At her death, the misstatement of age provision in a life insurance policy will result in which of the following? An increase in the death proceeds since the age has been understated. A denial of the claim The payment of death proceeds that the premium paid would have purchased if the age had been correctly stated No change in the amount of the death proceeds, but an adjustment of the premium

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Consider a long, slender rod of contant cross sectional area $A_c$ and constant perimeter P that is attached to a surface with constant surface temperature $T_b$. The conductivity of the material is k. It is inserted in a convective environment of temperature $T_0$ with a convective heat transfer coefficient h. There is uniform heat generation in the material of $e_g$ (W/m³). Derive the governing differential equation of temperature distribution in the rod. State all your assumptions (do not solve the equation).

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Suppose you want to approximate the area between the x-axis and the derivative $f(x) = 2\sqrt{x}$ on the interval $4 \le x \le 25$. Type the derivative in the box below NOTE: If a table does not appear after you type in the derivative correctly, then you have not typed it in right. f(x) = $2\sqrt{x}$ Approximate this area using 3 rectangles of equal width on this interval. Fill in the table with these values with x on the first row and f(x) on the second row. Click \"Plot\" when you received green checks on all table values $\checkmark$. Round to two decimal places when necessary (e.g whole numbers such as 9 would stay a whole number NOT 9.00) x f(x) Plot

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B. The transitive closure or reachability matrix of a graph is a (0,1)-matrix whose entry T[i,j] is 1 if there is a path between vertex i and vertex j and 0, otherwise. T[i,j] is 1 since there is a trivial path from every vertex to itself. Complete the transitive closure of the graph whose incidence matrix is shown below. [5 points] \begin{bmatrix} 67 & 73 & 12 & -32 & 0 & 0 & 0 & 0 \ -67 & 0 & 0 & 32 & -13 & 0 & 0 & 0 \ 0 & 0 & 0 & 0 & 13 & 45 & -35 & -76 \ 0 & -73 & 0 & 0 & 0 & -45 & 35 & 0 \ 0 & 0 & -12 & 0 & 0 & 0 & 0 & 76 \ \end{bmatrix} Corresponding Transitive Closure Matrix

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sarah t.