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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?
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Verified 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
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Most Upvoted Answer
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'.
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Community 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
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Importance of high specific heat capacity of water for life Specific heat capacity of a substance is the amount of heat required to raise the temperature of that substance by 1 K. It is expressed in the units J/ (kg K). A high specific heat of a substance means that a large amount of heat is required to raise the temperature of the substance. Water has the highest known specific heat capacity. Its specific heat capacity is 4.186 K J/ (kg K) i.e. to raise the temperature of 1 kg of water by 1 Kelvin it requires 4.186 KJ of heat. For comparison sake, Copper requires only 385 Joules of heat to raise 1 kilogram of copper by 1 Kelvin. It also interesting to know that the specific heat capacities in two other phases of water (i.e. ice and water vapour) are less than this. High specific heat of water is mainly due to the presence of a large number of hydrogen bonds between molecules of water. On a beach on a sunny day, it is noticed that the sand is often quite hot to walk on, but the water is always cool, even in the shallows. This is because sand has a lower specific heat capacity than that of water. Sand takes less energy to raise the temperature by one degree. Because water has a high specific heat capacity, it requires more energy to raise the temperature by one degree. Since the sun puts same rate of energy on water and sand, which heats up sand more quickly and water more slowly. Water covers around 70% of the Earth's surface and its high specific heat plays a very important role to sustain life in the earth. It is able to absorb a lot of heat without a significant rise in the temperature. When temperatures decrease, the heat which is stored is released, restraining a rapid drop in temperature. The combined effect is the buffering of heat. A relatively constant temperature without sudden rise and drop is essential to sustain life. Hence water is important for life.Q. Which statement is false?

Importance of high specific heat capacity of water for life Specific heat capacity of a substance is the amount of heat required to raise the temperature of that substance by 1 K. It is expressed in the units J/ (kg K). A high specific heat of a substance means that a large amount of heat is required to raise the temperature of the substance. Water has the highest known specific heat capacity. Its specific heat capacity is 4.186 K J/ (kg K) i.e. to raise the temperature of 1 kg of water by 1 Kelvin it requires 4.186 KJ of heat. For comparison sake, Copper requires only 385 Joules of heat to raise 1 kilogram of copper by 1 Kelvin. It also interesting to know that the specific heat capacities in two other phases of water (i.e. ice and water vapour) are less than this. High specific heat of water is mainly due to the presence of a large number of hydrogen bonds between molecules of water. On a beach on a sunny day, it is noticed that the sand is often quite hot to walk on, but the water is always cool, even in the shallows. This is because sand has a lower specific heat capacity than that of water. Sand takes less energy to raise the temperature by one degree. Because water has a high specific heat capacity, it requires more energy to raise the temperature by one degree. Since the sun puts same rate of energy on water and sand, which heats up sand more quickly and water more slowly. Water covers around 70% of the Earth's surface and its high specific heat plays a very important role to sustain life in the earth. It is able to absorb a lot of heat without a significant rise in the temperature. When temperatures decrease, the heat which is stored is released, restraining a rapid drop in temperature. The combined effect is the buffering of heat. A relatively constant temperature without sudden rise and drop is essential to sustain life. Hence water is important for life.Q. To raise the temperature of 1 kg of water and 1 kg of copper by 1 Kelvin, 4.186 KJ and 385 Joule of heat are required respectively. Which one will get heated up faster if exposed to sun?

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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?
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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 2024 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 2024 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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