$111()$

$1,1$

$8,100$

$(10\%)$

Explain the following items:

$($b$)$ Joule$-$Thomson coefficient

$($a$)$ Law of corresponding states

$($b$)$ Jour

$($e$)$ Ideal solutions

$($c$)$ Chemical potential

$($d$)$ The second law of thermodynamic

$($e$)$ Ideal solutions

Three moles of an ideal gas expand isothermally and reversibly from $90L$ to $300L$ at $300K.$ Calculate the w$,$ q$,H,S,$ and $G$ for this system. $(15\%)$

$($a$)$ A reaction $A+$BharrZ has an equilibrium constant of $4\mathrm{.}5{10}^{4}d{m}^{3}mo{l}^{-1}$ at $300K,$ and a $H$ value of $-40\mathrm{.}2kJmo{l}^{-1}.$ Calculate the entropy change for the reaction at $300K.(5\%)($b$)$ If the $H$ and $S$ values are temperature independent, at what temperature is the equilibrium constant equal to $1?(5\%)$

The vapor pressure for pure water at $22\mathrm{.}0C$ is $19\mathrm{.}827mmHg$ and at $30\mathrm{.}0C$ is $31\mathrm{.}824mmHg.$ Use these data to calculate the change in enthalpy per mol for the vaporization process. $(10\%)$

Calculate the mole fraction, activity, and activity coefficients for water when $11\mathrm{.}5$gNaCl are dissolved in $100g$ water at $298K.$ The molecular weight of NaCl is $58\mathrm{.}5gmo{l}^{-1}.$ The vapor pressure is $95\mathrm{.}325$kPa. $(15\%)$

$($a$)$ Calculate the ratio of the mass of the water$-$rich layer $(L_1)$ to that of the aniline$-$rich layer $(L_2),$ for a $20$ w wt$\%$ water$-$aniline mixture at $363K.$ The compositions along the tie line be are maintained at $363K.$ The composition at $c$ is $20\%$; for $L_1$ at $b,$ it is $8\%$; and for $L_2$ at $e,$ it is $90\%.(5\%)$

$($b$)$ What are the compositions of $L_1$ and $L_2$ at this temperature? $(10\%)$

A sample of milk kept at $25C$ is found to sour $40$ times as rapidly as when it is kept at $4C.$ Estimate the activation energy for the souring process. $(10\%)$

$($a$)$ Derive the half$-$life of a first$-$order reaction is $t_{\frac{1}{2}}=\frac{ln2}{k}.$

$(5\%)$

$($b$)$ A substance decompose at $600K$ with a rate constant of $3\mathrm{.}72{10}^{-5}{s}^{-1}.$ Calculate the halflife of the reaction. $(5\%)$

$($c$)$ What fraction will remain undecomposed if the