$3.$ Consider the gas phase reaction, X $3$Y$,$ for which the feed initially is at

$4\mathrm{.}0$ atm with molar composition of $67\%$ X$,23\%$ Y and the remaining inert. The

reaction occurs isothermally at $350$ K$.[13\mathrm{.}0$ marks$]$

a$)$ Determine the initial concentration of X and that of Y$.$

b$)$ Can the reaction progress be followed by measuring the total pressure? Why?

c$)$ After a certain time, the total pressure is measured to be $4\mathrm{.}6$ atm. Determine the

partial pressure and concentration of X and Y at this time.

d$)$ What is the fractional conversion of X at the time in Q$.$ c$)?$

e$)$ Is it possible for the total pressure to be $10$ atm? Why?

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