Question

$2X(g)\to 3Y(g)+2Z(g)$

Intial conc. (m/L) $[A_0]$	Initial conc. (m/L) $[B_0]$	Initial rate $[m{L}^{-1}{s}^{-1}]$
0.1	0.1	0.05
0.2	0.1	0.1
0.1	0.2	0.05

Assuming ideal gas condition. Calculate
(a) order of reaction
(b) rate constant
(c) time taken for $75\%$ completion of reaction
(d) total pressure when $p_x=700mm$

Answer 1

(a) Partial pressure becomes half of initial in every $100\min$, therefore, order $=1$.
(b) $k\times 100=\ln \frac{800}{400}=\ln 2\Rightarrow k=6.93\times 10^{-3}mi{n}^{-1}$
(c) For $75\%$ reaction; time required $=2\times$ half-life
$=200\min$
(d) $2X(g)\to 3Y(g)+2Z(g)$
Total pressure $=800+\frac{3}{2}x$
Also $800-x=700\Rightarrow x=100$
$|Rightarrow$ Total pressure $=800+\frac{3}{2}\times 100=950mmHg$