The enthalpy of tetramerization of X in gas phase ( 4 X ( g ) → X 4 ( g ) ) is − 100 kJ / mol at 300 K . The enthalpy of vaporisation for liquid X and X 4 are respectively 30 kJ / mol and 72 kJ /

Question

The enthalpy of tetramerization of X in gas phase $(4 X (g) \to X_{4} (g))$ is $- 100 kJ / mol$ at 300 K . The enthalpy of vaporisation for liquid X and $X_{4}$ are respectively $30 kJ / mol$ and $72 kJ / mol$ respectively. $Δ S$ for tetramerization of X in liquid phase $(4 X (ℓ) \to X_{4} (ℓ))$ is $- 125 J / K mol$ at 300 K . What is the $Δ G$ at 300 K for tetramerization of X in liquid phase $(4 X (ℓ) \to X_{4} (ℓ))$ ?

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Answer:

C

Solution:

Hess's Law and Gibbs Free Energy:

$Δ H_{l i q} = - 100 - 72 + 4 (30) = - 52$ kJ/mol.

$\displaylines Δ G = Δ H - T Δ S = - 52 - 300 (- 0.125) = - 14.5 k J / m o l .$

TestHub · Accepted Answer

Hess's Law and Gibbs Free Energy: Δ H l i q ​ = − 100 − 72 + 4 ( 30 ) = − 52 kJ/mol. \displaylines Δ G = Δ H − T Δ S = − 52 − 300 ( − 0.125 ) = − 14.5 k J / m o l .

Chemistry - Thermodynamics - II Question with Solution | TestHub

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