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(a) Draw the plot of $ln\; k$ vs $1/T$ for a chemical reaction. What does the intercept represent ? What is the relation between slope and $E_{a}$ ?

(b) A first order reaction takes 30 minutes for $20\; ^{o}/_{o}$ decomposition. Calculate $t_{\frac{1}{2}}$ . $\left [ log\; 2=0.3010 \right ]$

Answers (1)

(a) plot of $ln\; k$ v/s $\frac{1}{T}$

$Intercept =ln\; A$

$slope =\frac{-E_{a}}{R}$

(b) 1st order reaction

$t_{1/2}=?$

$t_{1/2}=\frac{0.693}{K}$

$t_{20^{o}/_{o}}=30 \; min$

$K=\frac{2.303}{t}log\frac{a}{a-x}$

$K=\frac{2.303}{30}log\frac{a}{a-0,20a}$

$K=\frac{2.303}{30}log\frac{1}{0.8}$

$=0.007439\; min^{-1}$

$t_{1/2}=\frac{0.693}{0.007439}$

$=93\; min$

Posted by

Sumit Saini

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