The standard entropy change for the reaction 4 Fe ( s )+3 O 2( g ) arrow 2 Fe 2 O 3( s ) is -550 JK -1 at 298 K. [Given: The standard enthalpy change for the reaction is -165 kJ mol -1. The temperature in K at which the reaction attains equilibrium is . (Nearest Integer)

Question

The standard entropy change for the reaction 4 Fe ( s )+3 O 2( g ) arrow 2 Fe 2 O 3( s ) is -550 JK -1 at 298 K. [Given: The standard enthalpy change for the reaction is -165 kJ mol -1. The temperature in K at which the reaction attains equilibrium is . (Nearest Integer) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Δ G =Δ H - T Δ S =0 at equilibrium ⇒-165 × 103- T ×(-505)=0 ⇒ T =300 K The answer is 300

Q. The standard entropy change for the reaction 4Fe(s)+3O2​(g)→2Fe2​O3​(s) is −550JK−1 at 298K. [Given : The standard enthalpy change for the reaction is −165kJmol−1. The temperature in K at which the reaction attains equilibrium is . _____ (Nearest Integer)

ΔG=ΔH−TΔS=0 at equilibrium ⇒−165×103−T×(−505)=0 ⇒T=300K The answer is 300

$Δ G = Δ H - T Δ S = 0$ at equilibrium
$\Rightarrow - 165 \times 1 0^{3} - T \times (- 505) = 0$
$\Rightarrow T = 300 K$
The answer is $300$