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TS EAMCET · Chemistry · Thermodynamics (C)

The temperature of \(K\) at which \(\Delta G=0\), for a given reaction with \(\Delta H=-20.5 \mathrm{~kJ} \mathrm{~mol}^{-1}\) and \(\Delta S=-50.0 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\) is

  1. A \(-410\)
  2. B \(410\)
  3. C \(2.44\)
  4. D \(-2.44\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(410\)

Step-by-step Solution

Detailed explanation

From Gibbs-Helmholtz reaction, \[ \begin{aligned} \Delta G & =\Delta H-T \Delta S \\ 0 & =-20.5 \times 10^3-T \times(-50.0) \\ \therefore T & =\frac{-20.5 \times 10^3}{-50.0}=410 \mathrm{~K} \end{aligned} \]