If the enthalpy and entropy change for the reaction A 2( g )+ B 2( g ) leftharpoons 2 AB ( g ) are 75 kJ mol -1 and 250 JK -1 mol -1 respectively. The temperature at which the reaction will be at equilibrium is

Question

If the enthalpy and entropy change for the reaction A 2( g )+ B 2( g ) leftharpoons 2 AB ( g ) are 75 kJ mol -1 and 250 JK -1 mol -1 respectively. The temperature at which the reaction will be at equilibrium is (A) 250 K (B) 300 K (C) 400 K (D) 450 K

Tardigrade Admin · Accepted Answer

Δ G=Δ H-T Δ S ∴ At equilibrium, Δ G=0 ∴ Δ H=T Δ S T=(Δ H/Δ S)=(75000/250) =300 K

Q. If the enthalpy and entropy change for the reaction
$A_{2} (g) + B_{2} (g) ⇌ 2 A B (g)$ are $75 k J m o l^{- 1}$
and $250 J K^{- 1} m o l^{- 1}$ respectively. The temperature at which the reaction will be at equilibrium is

250 K

300 K

400 K

450 K

$Δ G = Δ H - T Δ S$
$∴$ At equilibrium, $Δ G = 0$
$∴ Δ H = T Δ S$
$T = \frac{Δ H}{Δ S} = \frac{75000}{250}$
$= 300 K$

Q. If the enthalpy and entropy change for the reaction A2​(g)+B2​(g)⇌2AB(g) are 75kJmol−1 and 250JK−1mol−1 respectively. The temperature at which the reaction will be at equilibrium is