JEE Main 2007 — Thermodynamics (C) Question with Solution
JEE Main 2007
Question
In conversion of lime-stone to lime,
the vales of and are and respectively at and .
Assuming that do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
We know,
So, lets find the equilibrium temperature, i.e. at which
$\begin{aligned}
& \Delta \mathrm{G}=0 \\
& \Delta \mathrm{H}=\mathrm{T} \Delta \mathrm{S} \\
& \mathrm{T}=\frac{179.1 \times 1000}{160.2} \\
& =1118 \mathrm{~K}
\end{aligned}$
So, at temperature above this, the reaction will become spontaneous. Hence, (D) is correct answer.
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