Q. The following data were obtained the first order decomposition of $2\ A(g) \rightarrow B(g) + C(S)$ at a constant volume and at a particular temperature [table] SN | Time | Total pressure in Pascal ; 1 | At the end of 10 min | 300 ; 2 | After completion | 200 [/table] The rate constant in $\min^{- 1}{is\ }$
A) 0.0693
B) 69.3
C) 6.93
D) $6.93 \times 10^{- 4}$
Explanation
(a)
$2A \rightarrow B + C$
2p 0 0
2p-x x x after 10 min
0 p p after completion
Given, P+P=200
After 10 min,
$2p - x + x + x = 300$ (given)
$2p + x = 300$
$x = 300 - 200 = 100$
$k = \frac{2.303}{10}\log\frac{200}{100} = 0.0693\ \min^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.