SATHEE: Thermodynamics and Thermochemistry 1 Question 12

Thermodynamics and Thermochemistry 1 Question 12

12. The standard reaction Gibbs energy for a chemical reaction at an absolute temperature $T$ is given by, $Δ_{r} G^{o} = A - B T$

Where $A$ and $B$ are non-zero constants.

Which of the following is true about this reaction?

(2019 Main, 11 Jan II)

(a) Endothermic if, $A < 0$ and $B > 0$

(b) Exothermic if, $B < 0$

(d) Endothermic if, $A > 0$

Show Answer

Solution:

According to Gibb’s Helmholtz equation,

$\begin{aligned} Δ_{r} G^{\circ} & = Δ_{r} H^{\circ} - T Δ_{r} S^{\circ} Given, & Δ_{r} G^{\circ} & = A - B T \end{aligned}$

On comparing above two equations, we get,

$A = Δ H^{\circ} and Δ S^{\circ} = B$

We know that, if $Δ H^{\circ}$ is negative, reaction is exothermic and when it is positive, reaction is endothermic.

$∴$ If $A > 0$ , i.e. positive, reaction is endothermic.

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Thermodynamics and Thermochemistry 1 Question 12

12. The standard reaction Gibbs energy for a chemical reaction at an absolute temperature T is given by, ΔrGo=A−BT

Solution:

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12. The standard reaction Gibbs energy for a chemical reaction at an absolute temperature $T$ is given by, $Δ_{r} G^{o} = A - B T$