Quiz 1 Key - Chemistry 230-— Quiz 1 September 5 2001...

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Unformatted text preview: Chemistry 230 -— Quiz 1 September 5, 2001 —— Tellinghuisen Pledge and signature: Note: If you want your paper returned folded (i.e., score concealed), please print your name on the back. 1. (12) Obtain dy/dx for: (a) y = cm (270; (b) y = 1n [(3x2 + 4)3] (c) y = 52x3. (an % a gig -_—_ [H (b) MK Zeal—Hi @) da/dx : élxabmg-S 2. (8) The ideal gas law reads PV: nRT, where P is the pressure, Vthe volume, n the number of moles, R the gas constant and Tthe absolute temperature (a) Express P as a function of V, n, and T. P = a RT / V (b) What are the mm and anriables here? wwzhflU, ‘demde:P (c) Give a general (formal) definition of ab”; then evaluate all the partial derivatives to make this expression specific. em ”rt-Eta“ a), aw 3% QT av _ RT MR ,_ LKT - ,7 M + 0U“ V2 0W 3. (6) In problem 11, you had to use the chain rule to obtain the partials (Bf/6x); and (Bf/60x, when f was defined as flx+ct) Suppose now that f flu), with u: -x2 + 3:. Obtain (Bf/8x); , (azflaxzh . and (aflar), [Express these in terms of flu) and f '(u). ] 93h. 2 1x Mu) )ZC‘EH) : “mi“ Mai/(M ex (cg-EL : HM ...
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