Question

If pressure of $C{l}_2{O}_7$ after $100$ sec in atm is $x$, then $1000x$ is__________.

Answer 1

For first order reaction, $k=\frac{2.303}{t}log\frac{a}{a-x}$

At 55 seconds, $k=\frac{2.303}{55}log\frac{0.062}{0.044}=6.2365\times {10}^{-3}$

At 100 seconds, $6.2365\times {10}^{-3}=\frac{2.303}{100}log\frac{0.062}{x}$

$log\frac{0.062}{x}=0.2708$

$\frac{0.062}{x}=1.8655$

$x=0.033$
$1000x=33$