1. Tardigrade
  2. Question
  3. Chemistry
  4. 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)

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Q. The standard entropy change for the reaction
$4 Fe ( s )+3 O _{2}( g ) \rightarrow 2 Fe _{2} O _{3}( s )$ 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)

JEE MainJEE Main 2022Thermodynamics

Solution:

$\Delta G =\Delta H - T \Delta S =0 $ at equilibrium
$\Rightarrow-165 \times 10^{3}- T \times(-505)=0 $
$\Rightarrow T =300\, K$
The answer is $300$