Question

Decomposition of two substance X and Y takes place according to following gaseous reactions :

Reaction -I : X $\to$ P + Q Reaction -II : Y $\to$ R + S

Calculate the value of Z, where $Z=\frac{T_2}{T_1}$

$T_1=$ Half life period of reaction - I $T_2=$ Half life period of reaction - II

• A. 3
• B. 2
• C. 1
• D. 0

Answer 1

The correct option is B 2

For graph - 1
$T_1=\frac{X_0}{2K}=\frac{1}{2\times 1}=0.5(K=tan{135}^0\Rightarrow K=1)$

For graph - 2
$K{T}_2=\frac{2}{Y_0}-\frac{1}{Y_0}=\frac{1}{Y_0}=1\times T_2$

$K=tan{45}^0=1$

$T_2=1$

$Z=\frac{T_2}{T_1}=\frac{1}{0.5}=2.$

Hence, option $B$ is correct.