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Chemistry 2710 Spring 2001 Assignment 1

Due: Friday, Jan. 12, 9:00a.m.

1.
Evaluate the following derivatives: [2 marks each]
(a)
$\displaystyle\frac{d}{dx}\left(x^2+x^{-2}\right)$
(b)
$\displaystyle\frac{d}{dt}e^{-kt}$
2.
Evaluate the following integrals: [3 marks each]
(a)
$\displaystyle\int_{a_0}^{a(t)}\frac{dx}{x^n}$, $n\not= 1$
(b)
$\displaystyle\int_3^{15}\frac{dx}{x}$ In this case, simplify your answer as much as possible, but do not convert it to a floating-point value.
3.
Disulfur dichloride ( S2Cl2) is used to vulcanize rubber. It is made by the following reaction:

\begin{displaymath}\mathrm{S}_{8\mathrm{(l)}} + 4\mathrm{Cl}_{2\mathrm{(g)}}
\rightarrow 4 \mathrm{S}_2\mathrm{Cl}_{2\mathrm{(l)}}.\end{displaymath}

(a)
If 32.0g of sulfur react with 71.0g of chlorine and assuming the reaction goes to completion, what mass of disulfur dichloride could be obtained? [6 marks]
(b)
If the chlorine is initially held at a pressure of 90kPa and a temperature of $50^\circ\mathrm{C}$, what volume does it occupy? [3 marks]
4.
Suppose that HF gas reacts with aluminium metal. The products are AlF3(s) and hydrogen gas. Calculate the standard changes in enthalpy and entropy in this reaction. [6 marks]
Substance $\Delta\bar{H}^\circ_f$ $\bar{S}^\circ$
  (kJ/mol) (JK-1mol-1)
Al(s) 0 28.30
AlF3(s) -1510.4 66.5
H2(g) 0 130.680
HF(g) -273.30 173.779
5.
Find the line of best fit through the following points by linear regression: [4 marks]
x 0.9 1.8 2.5 3.7 4.6
y 3.4 5.5 7.2 10.1 12.2

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Marc Roussel
2001-01-08