**Unformatted text preview: **Chemistry 230 -— Quiz 1
September 5, 2001 —— Tellinghuisen
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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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