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Bond energy of H2 gas is 104 kcal mol-1. The temperature at which average kinetic energy of gaseous H2 molecules is equal to energy required to dissociate the molecules into atoms, is
- a)34620 K
- b)34893 K
- c)31200 K
- d)32723 K
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Bond energy of H2 gas is 104 kcal mol-1. The temperature at which aver...
Bond energy is the energy to break bonds and convert the sample into atoms.
We know that,
K.E of a mol of gas molecule = 3/2 RT
A/Q 3/2 RT = 104 kcal mol-1
3/2×8.314×T = 104×103 x 4.18 J
T = 34893 K
We know that,
K.E of a mol of gas molecule = 3/2 RT
A/Q 3/2 RT = 104 kcal mol-1
3/2×8.314×T = 104×103 x 4.18 J
T = 34893 K
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Bond energy of H2 gas is 104 kcal mol-1. The temperature at which aver...
Given Information:
- Bond energy of H2 gas is 104 kcal mol-1.
To find:
- The temperature at which the average kinetic energy of gaseous H2 molecules is equal to the energy required to dissociate the molecules into atoms.
Concepts Involved:
- Average kinetic energy of a gas molecule
- Energy required to dissociate H2 molecules into atoms
Explanation:
1. Average kinetic energy of a gas molecule:
- The average kinetic energy (KE) of a gas molecule is given by the equation KE = (3/2)RT, where R is the gas constant and T is the temperature in Kelvin.
- This equation is derived from the kinetic theory of gases, which states that the average kinetic energy of a gas molecule is directly proportional to its temperature.
2. Energy required to dissociate H2 molecules into atoms:
- The bond energy of H2 gas is the energy required to dissociate H2 molecules into atoms.
- The bond energy of H2 is given as 104 kcal mol-1.
- This means that it takes 104 kcal of energy to break one mole of H2 molecules into individual hydrogen atoms.
3. Equating the average kinetic energy to the energy required for dissociation:
- To find the temperature at which the average kinetic energy of gaseous H2 molecules is equal to the energy required to dissociate the molecules into atoms, we need to equate the two values.
- The average kinetic energy of a gas molecule is given by KE = (3/2)RT.
- The energy required to dissociate H2 molecules into atoms is given by the bond energy, which is 104 kcal mol-1.
- Setting the two equations equal to each other, we have (3/2)RT = 104 kcal mol-1.
4. Solving for temperature:
- Rearranging the equation, we have T = (104 kcal mol-1) / (3/2)R.
- Substituting the value of the gas constant R (0.0821 L atm mol-1 K-1), we can calculate the temperature in Kelvin.
Calculation:
- T = (104 kcal mol-1) / (3/2)R
- T = (104 kcal mol-1) / (3/2)(0.0821 L atm mol-1 K-1)
- T ≈ 34893 K
Therefore, the temperature at which the average kinetic energy of gaseous H2 molecules is equal to the energy required to dissociate the molecules into atoms is approximately 34893 K, which corresponds to option 'B'.
- Bond energy of H2 gas is 104 kcal mol-1.
To find:
- The temperature at which the average kinetic energy of gaseous H2 molecules is equal to the energy required to dissociate the molecules into atoms.
Concepts Involved:
- Average kinetic energy of a gas molecule
- Energy required to dissociate H2 molecules into atoms
Explanation:
1. Average kinetic energy of a gas molecule:
- The average kinetic energy (KE) of a gas molecule is given by the equation KE = (3/2)RT, where R is the gas constant and T is the temperature in Kelvin.
- This equation is derived from the kinetic theory of gases, which states that the average kinetic energy of a gas molecule is directly proportional to its temperature.
2. Energy required to dissociate H2 molecules into atoms:
- The bond energy of H2 gas is the energy required to dissociate H2 molecules into atoms.
- The bond energy of H2 is given as 104 kcal mol-1.
- This means that it takes 104 kcal of energy to break one mole of H2 molecules into individual hydrogen atoms.
3. Equating the average kinetic energy to the energy required for dissociation:
- To find the temperature at which the average kinetic energy of gaseous H2 molecules is equal to the energy required to dissociate the molecules into atoms, we need to equate the two values.
- The average kinetic energy of a gas molecule is given by KE = (3/2)RT.
- The energy required to dissociate H2 molecules into atoms is given by the bond energy, which is 104 kcal mol-1.
- Setting the two equations equal to each other, we have (3/2)RT = 104 kcal mol-1.
4. Solving for temperature:
- Rearranging the equation, we have T = (104 kcal mol-1) / (3/2)R.
- Substituting the value of the gas constant R (0.0821 L atm mol-1 K-1), we can calculate the temperature in Kelvin.
Calculation:
- T = (104 kcal mol-1) / (3/2)R
- T = (104 kcal mol-1) / (3/2)(0.0821 L atm mol-1 K-1)
- T ≈ 34893 K
Therefore, the temperature at which the average kinetic energy of gaseous H2 molecules is equal to the energy required to dissociate the molecules into atoms is approximately 34893 K, which corresponds to option 'B'.
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Bond energy of H2 gas is 104 kcal mol-1. The temperature at which average kinetic energy of gaseous H2 molecules is equal to energy required to dissociate the molecules into atoms, isa)34620 Kb)34893 Kc)31200 Kd)32723 KCorrect answer is option 'B'. Can you explain this answer? for Class 11 2026 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Bond energy of H2 gas is 104 kcal mol-1. The temperature at which average kinetic energy of gaseous H2 molecules is equal to energy required to dissociate the molecules into atoms, isa)34620 Kb)34893 Kc)31200 Kd)32723 KCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bond energy of H2 gas is 104 kcal mol-1. The temperature at which average kinetic energy of gaseous H2 molecules is equal to energy required to dissociate the molecules into atoms, isa)34620 Kb)34893 Kc)31200 Kd)32723 KCorrect answer is option 'B'. Can you explain this answer?.
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