The following data were obtained during the first order thermal decomposition of a gas A at constant volume: Ag→2 Bg+Cg S. No Time/s Total pressure/(atm) 1. 0 0.1 2. 115 0.28 The rate constant of the reaction is _______ ×10^(-2)s^(-1) (nearest integer)

Correct answer: 2. t=0 t=115 sec. Ag 0.1 0.1-x → 2Bg 2x + Cg 2x 0.1+2x = 0.28 2x=0.18 x=0.09 K=1/115ln0.1/(0.1-0.09) =0.0200sec^(-1) =2×10^(-2)sec^(-1)

Q20 / 90 · JEE Main 2024 (01 Feb Shift 2) · Chemistry

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)

Correct answer: 2

Solution

$\begin{matrix} t = 0 \\ t = 115 \sec . \end{matrix} \begin{matrix} A (g) \\ 0.1 \\ 0.1 - x \end{matrix} \begin{matrix} \to \end{matrix} \begin{matrix} 2 B (g) \\ 2 x \end{matrix} \begin{matrix} + \end{matrix} \begin{matrix} C (g) \\ 2 x \end{matrix}$

$0.1 + 2 x = 0.28$

$2 x = 0.18$

$x = 0.09$

$K = \frac{1}{115} \ln \frac{0.1}{0.1 - 0.09}$

$= 0.0200 \sec^{- 1}$

$= 2 \times 10^{- 2} \sec^{- 1}$

Hence, the correct answer is 2.

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The following data were obtained during the first order thermal decomposition of a gas A at constant volume:Ag→2 Bg+CgS. No Time/s Total pressure/(atm) 1. 0 0.1 2. 115 0.28The rate constant of the reaction is _______ ×10-2s-1 (nearest integer)

Solution

Relevant Questions

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)