Answer
Verified
450.3k+ views
Hint: At equilibrium change in Gibbs free energy is zero. By equating Gibbs free energy to zero we can find Enthalpy change for the reaction.
Formula Used: $\triangle G\quad =\quad \triangle H\quad -\quad T\triangle S$
Complete step by step answer:
The equilibrium rate of formation of products is equal to the rate of formation of reactants. At equilibrium spontaneity of reaction will be zero.
\[\triangle G\quad =\quad \triangle H\quad -\quad T\triangle S\]
Change in Gibbs Free energy is zero for equilibrium reaction. Equate Gibbs free change to
$0{ J }{ mol }^{ -1 }$.
Change in Enthalpy for equilibrium reaction is $-20.5{ KJ }{ mol }^{ -1 }$.
The temperature of equilibrium will be 410 K.
Substituting all these values we are left with one unknown which is the change in Entropy.
0 = $-20.5{ KJ }{ mol }^{ -1 }-{{410K}{\triangle\; S}}$
We know that $1{ KJ }{ mol }^{ -1 }$ = $1000{ J }{ mol }^{ -1 }$
$-20.5{ KJ }{ mol }^{ -1 }$= $-20.5\times1000{ J }{ mol }^{ -1 }$= $-20500{ J }{ mol }^{ -1 }$
0 = $-20500{ J }{ mol }^{ -1 }-{{410K}{\triangle\; S}}$
${{410K}{\triangle\; S}}$ = $-20500{ J }{ mol }^{ -1 }$
△S = ${ \dfrac { -20500 }{ 410 } J }{ mol }^{ -1 }$
△S =$-50{ JK^{ -1 } }{ mol }^{ -1 }$
Entropy change for this equilibrium at $410K$ is $-50{ JK^{ -1 } }{ mol }^{ -1 }$.
Therefore, option D is correct.
Note: At equilibrium change in Gibbs free is zero because the rate of formation of products and reactants will be the same so the reaction will not be spontaneous. We need to be careful with the sign of Enthalpy change and while solving the equation we need to reverse the sign when we send terms from R.H.S to L.H.S of an equation.
Formula Used: $\triangle G\quad =\quad \triangle H\quad -\quad T\triangle S$
Complete step by step answer:
The equilibrium rate of formation of products is equal to the rate of formation of reactants. At equilibrium spontaneity of reaction will be zero.
\[\triangle G\quad =\quad \triangle H\quad -\quad T\triangle S\]
Change in Gibbs Free energy is zero for equilibrium reaction. Equate Gibbs free change to
$0{ J }{ mol }^{ -1 }$.
Change in Enthalpy for equilibrium reaction is $-20.5{ KJ }{ mol }^{ -1 }$.
The temperature of equilibrium will be 410 K.
Substituting all these values we are left with one unknown which is the change in Entropy.
0 = $-20.5{ KJ }{ mol }^{ -1 }-{{410K}{\triangle\; S}}$
We know that $1{ KJ }{ mol }^{ -1 }$ = $1000{ J }{ mol }^{ -1 }$
$-20.5{ KJ }{ mol }^{ -1 }$= $-20.5\times1000{ J }{ mol }^{ -1 }$= $-20500{ J }{ mol }^{ -1 }$
0 = $-20500{ J }{ mol }^{ -1 }-{{410K}{\triangle\; S}}$
${{410K}{\triangle\; S}}$ = $-20500{ J }{ mol }^{ -1 }$
△S = ${ \dfrac { -20500 }{ 410 } J }{ mol }^{ -1 }$
△S =$-50{ JK^{ -1 } }{ mol }^{ -1 }$
Entropy change for this equilibrium at $410K$ is $-50{ JK^{ -1 } }{ mol }^{ -1 }$.
Therefore, option D is correct.
Note: At equilibrium change in Gibbs free is zero because the rate of formation of products and reactants will be the same so the reaction will not be spontaneous. We need to be careful with the sign of Enthalpy change and while solving the equation we need to reverse the sign when we send terms from R.H.S to L.H.S of an equation.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE