Answer
425.4k+ views
Hint: Try to figure out what will be the effect on the reaction when it is performed under constant volume conditions. At constant volume, the volume will remain constant. How does the enthalpy of reaction be affected by changing conditions?
Complete step by step answer:
We know that heat of formation is the change of enthalpy of reaction when one mole of given chemical species is formed from its elements. When a given reaction is carried at constant pressure, the pressure is kept constant throughout the reaction. Whereas in constant volume condition, the volume is kept constant throughout the reaction.
But the heat of formation of reaction is not the same for all reactions under these 2 conditions. This is because of the number of gaseous moles changes in the reaction. If the volume is not constant then gas will expand.
The reaction will be:
$C_{ \left( S \right) }\quad +\quad \frac { 1 }{ 2 } { O }_{ 2 }\quad →\quad CO_{ \left( g \right) }$
Change in number of gaseous moles $\Delta n_{ g }\quad =\quad 1-\frac { 1 }{ 2 } \quad =\quad \frac { 1 }{ 2 } $
\[\Delta H\quad =\quad \Delta U\quad +\quad \Delta n_{ g }RT\]
$\Delta H$ is enthalpy change, $\Delta U$ is the internal energy change
\[\Delta H\quad -\quad \Delta U\quad =\quad \Delta n_{ g }RT\]
Given $\Delta H$ is the heat of formation at constant pressure, $\Delta U$ is the heat of formation at constant volume.
\[\Delta U\quad =\quad \Delta H\quad -\quad \Delta n_{ g }RT\]
\[\Delta n_{ g }RT\quad =\quad \frac { 1 }{ 2 } \times 8.344\times 300\quad =\quad 1251.6\quad J\]
\[\Delta U\quad =\quad -110KJ\quad -\quad 1251.6\quad J\quad =\quad -110\quad -\quad 1.2516\quad =\quad -111.2516KJ\]
Hence, the correct answer is option C.
Note:
Heat of formation involves reactants that are in their most stable form. Internal energy change will be equal to the heat of formation at constant volume because there will be no work done in expanding gas so enthalpy at constant volume is the same as internal energy change under constant pressure condition.
Complete step by step answer:
We know that heat of formation is the change of enthalpy of reaction when one mole of given chemical species is formed from its elements. When a given reaction is carried at constant pressure, the pressure is kept constant throughout the reaction. Whereas in constant volume condition, the volume is kept constant throughout the reaction.
But the heat of formation of reaction is not the same for all reactions under these 2 conditions. This is because of the number of gaseous moles changes in the reaction. If the volume is not constant then gas will expand.
The reaction will be:
$C_{ \left( S \right) }\quad +\quad \frac { 1 }{ 2 } { O }_{ 2 }\quad →\quad CO_{ \left( g \right) }$
Change in number of gaseous moles $\Delta n_{ g }\quad =\quad 1-\frac { 1 }{ 2 } \quad =\quad \frac { 1 }{ 2 } $
\[\Delta H\quad =\quad \Delta U\quad +\quad \Delta n_{ g }RT\]
$\Delta H$ is enthalpy change, $\Delta U$ is the internal energy change
\[\Delta H\quad -\quad \Delta U\quad =\quad \Delta n_{ g }RT\]
Given $\Delta H$ is the heat of formation at constant pressure, $\Delta U$ is the heat of formation at constant volume.
\[\Delta U\quad =\quad \Delta H\quad -\quad \Delta n_{ g }RT\]
\[\Delta n_{ g }RT\quad =\quad \frac { 1 }{ 2 } \times 8.344\times 300\quad =\quad 1251.6\quad J\]
\[\Delta U\quad =\quad -110KJ\quad -\quad 1251.6\quad J\quad =\quad -110\quad -\quad 1.2516\quad =\quad -111.2516KJ\]
Hence, the correct answer is option C.
Note:
Heat of formation involves reactants that are in their most stable form. Internal energy change will be equal to the heat of formation at constant volume because there will be no work done in expanding gas so enthalpy at constant volume is the same as internal energy change under constant pressure condition.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)