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JEE Mains · Chemistry · STD 11 - 6.1. Equilibrium - 1 (chemical Equilibrium)

The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below
\(A(g) \rightleftharpoons B(g) + C(g)\)
\(\dfrac{1}{T}(\text{K}^{-1})\)\(\log_{10} K_p\)
\(0.05\)\(3.5\)
\(0.06\)\(2.5\)
\(0.07\)\(1.5\)

The magnitude of \(\dfrac{\Delta H°}{R}\) calculated from the above data is _____. (Nearest integer)

  1. A 215
  2. B 220
  3. C 225
  4. D 230
Verified Solution

Answer & Solution

Correct Answer

(D) 230

Step-by-step Solution

Detailed explanation

According to the van 't Hoff equation: \(\log_{10} K_p = -\dfrac{\Delta H^\circ}{2.303 R} \left(\dfrac{1}{T}\right) + \dfrac{\Delta S^\circ}{2.303 R}\) This represents a linear equation \(y = mx + c\), where \(y = \log_{10} K_p\) and \(x = \dfrac{1}{T}\). The slope \(m\) of the…