Tutorial $3($Chapter $3$ & $4$: Rate Laws and Stoichiometry$)$

Consider the reaction

$A+2B3C$

in which the rate of disappearance of $A$ is $5$ moles of A per $d{m}^3$ per second at the start of the reaction. At the start of the reaction

$($a$)$ What is $-r_A?$

$($b$)$ What is the rate of formation of $B?$

$($c$)$ What is the rate of formation of $C?$

$($d$)$ What is the rate of disappearance of C$?$

$($e$)$ What is the rate of formation of $A_3{r}_A?$

$($f$)$ What is $r_B?$

$2.$ Write the rate law for the elementary reaction

$A{?}_{k_{rA}}^{\text{k}\text{F}\text{A}}2B$

Here $k_k$ and $k_{ag}$ are the forward and reverse specific reaction rates both defined with respect to $A.$

$3.$ The trimerization

$3A(g)A_3(g,l)$

is carried out isothermally and without pressure drop in a PFR at $298K$ and $2$atm. As the concentration of $A_3$ increases down the reactor and $A_3$ begins to condense. The vapor pressure of $A_3$ at $298K$ is $0\mathrm{.}5$atm. If an equal molar mixture of A and inert, I, is fed to the reactor at what conversion of A will $A_3$ begin to condense?

$4.$ The elementary irreversible gas reaction

$A(g)+B(g)C(g,l)$

is carried out isothermally in a PFR in which there is no pressure drop. As the reaction proceeds the partial pressure of $C$ builds up and a point is reached at which $C$ begins to condense. The vapor pressure of $C$ is $0\mathrm{.}4$atm. What is the rate of reaction at the point at which $C$ first starts to condense. The feed is equal molar in A and $B,$ there are no inerts or other species entering the reactor and the total pressure at the entrance is $2$atm.

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