question_answer

The area enclosed between the curves\[CaC{{O}_{3}}(s)\xrightarrow{{}}CaO(s)+C{{O}_{2}}(g)\] and\[\Delta H{}^\circ \]is       AIEEE  Solved  Paper-2007

A)  \[\Delta S{}^\circ \]       

B)         1                            

C)  \[+179.1\text{ }kJ\]                       

D)         \[mo{{l}^{-1}}\]

Correct Answer: C

Solution :

Required area, \[A=\int_{0}^{1}{(\sqrt{x}-x)dx}\] \[=\left[ \frac{2}{3}{{x}^{3/2}}-\frac{{{x}^{2}}}{2} \right]_{0}^{1}=\frac{2}{3}.\frac{1}{2}=\frac{1}{6}\]