
Rate of disappearance of reactant A at two different temperatures is given by .
Calculate the heat of reaction in the given temperature range, when equilibrium is set up.
(A) 8.03 kJ
(B) 16.06 kJ
(C) 32.12 kJ
(D) None of these
Answer
478.8k+ views
Hint:This question is solved by using the equation of equilibrium constant. As in this question we have given the rate of disappearance of reactant A at different temperatures, we have to find equilibrium constant for both the temperature and then we can find the heat of reaction. Then by using the Arrhenius equation we can find the heat of reaction.
Complete solution: First, we have to find the value of equilibrium constant for given different temperatures. Equilibrium constant is the value of reaction quotient at chemical equilibrium.
For 300K temperature; = 5
For 400k temperature; = 25
Here, above we got the values of the equilibrium constants at different temperatures. It is clear from the above value K (Equilibrium constant) that the temperature of the reaction. Now, by using the Arrhenius equation we can calculate the heat of the reaction at a given temperature range.
Where, K1 and K2 are the equilibrium constant at temperature 300 K (T1) and temperature 400 K (T2) respectively.
R is the gas constant.
Hence, putting the values in above equation we get,
Now, evaluating and rearranging the above equation we get the value of delta H.
Hence, the heat of reaction for the given temperature range for disappearance of the reactant A would be
.
Thus,Option B is correct
Note:Now it is clear from the above that as we can change the temperature for the disappearance of the reactant A the heat of reaction is depend on the two different equilibrium constants for the particular reaction. Hence, we can get the heat of reaction is . Heat of reaction is the change in the enthalpy of the system during the reaction.
Complete solution: First, we have to find the value of equilibrium constant for given different temperatures. Equilibrium constant is the value of reaction quotient at chemical equilibrium.
For 300K temperature;
For 400k temperature;
Here, above we got the values of the equilibrium constants at different temperatures. It is clear from the above value K (Equilibrium constant) that the temperature of the reaction. Now, by using the Arrhenius equation we can calculate the heat of the reaction at a given temperature range.
Where, K1 and K2 are the equilibrium constant at temperature 300 K (T1) and temperature 400 K (T2) respectively.
R is the gas constant.
Hence, putting the values in above equation we get,
Now, evaluating and rearranging the above equation we get the value of delta H.
Hence, the heat of reaction for the given temperature range for disappearance of the reactant A would be
Thus,Option B is correct
Note:Now it is clear from the above that as we can change the temperature for the disappearance of the reactant A the heat of reaction is depend on the two different equilibrium constants for the particular reaction. Hence, we can get the heat of reaction is
Latest Vedantu courses for you
Grade 6 | CBSE | SCHOOL | English
Vedantu 6 Pro Course (2025-26)
School Full course for CBSE students
₹45,300 per year
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

How much is 23 kg in pounds class 11 chemistry CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

What is the technique used to separate the components class 11 chemistry CBSE
