For the chemical equilibrium,CaCO3(s)  ⇌   CaO(s)  +  CO2(g),  ∆Hr0  can be determined from which one of the following plots

# For the chemical equilibrium,  $∆{\mathrm{H}}_{\mathrm{r}}^{0}$  can be determined from which one of the following plots

1. A

2. B

3. C

4. D

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### Solution:

For the reaction,

${\mathrm{K}}_{\mathrm{P}}={\mathrm{P}}_{{\mathrm{CO}}_{2}}$ and

According to Arrhenius equation we have

Taking logarithm, we have

This is an equation of straight line. When  is plotted against 1/T. we get a straight line.

The intercept of this line = log A, slope =

Knowing the value of slope from the plot and universal gas constant R, $∆{\mathrm{H}}_{\mathrm{r}}^{0}$ can be calculated.

Equation of straight line : Y = mx + C. Here,

Y                     m         x            C

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