The following data were obtained during the first order thermal decomposition of a gas $A$ at constant volume:
$A (g) \to 2 B (g) + C (g)$
S. No Time/s Total pressure/(atm)
$1 .$ $0$ $0.1$
$2 .$ $115$ $0.28$
The rate constant of the reaction is _______ $\times 10^{- 2} s^{- 1}$ (nearest integer)

Question

The following data were obtained during the first order thermal decomposition of a gas

A

at constant volume:

$A (g) \to 2 B (g) + C (g)$

S. No Time/s Total pressure/(atm)

$1 .$ $0$ $0.1$

$2 .$ $115$ $0.28$

The rate constant of the reaction is _______ $\times 10^{- 2} s^{- 1}$ (nearest integer)

Aicharya · Accepted Answer

t = 0 t = 115 sec . A g 0 . 1 0 . 1 - x → 2 B g 2 x + C g 2 x 0 . 1 + 2 x = 0 . 28 2 x = 0 . 18 x = 0 . 09 K = 1 115 ln 0 . 1 0 . 1 - 0 . 09 = 0 . 0200 sec - 1 = 2 × 10 - 2 sec - 1

The following data were obtained during the first order thermal decomposition of a gas A at constant volume:…

Solution