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One mole of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate the increase in its internal energy.
  • a)
    2.49 kJ
  • b)
    2.65 kJ
  • c)
    2.15 kJ
  • d)
    2.85 kJ
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
One mole of hydrogen gas is heated at constant pressure from 300 K to ...
Explanation:
Hydrogen is a diatomic gas. (C= 2.5R)
Change in internal energy 
ΔnCVΔ= 1 x 2.5 x 8.31 x 120 = 2493= 2.49KJ
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Most Upvoted Answer
One mole of hydrogen gas is heated at constant pressure from 300 K to ...
Understanding Internal Energy in Gases
The internal energy of an ideal gas can be determined using the formula:
ΔU = n * Cv * ΔT
Where:
- ΔU = change in internal energy
- n = number of moles
- Cv = molar heat capacity at constant volume
- ΔT = change in temperature
Given Values
- Number of moles (n) = 1 mole
- Initial temperature (T1) = 300 K
- Final temperature (T2) = 420 K
- Change in temperature (ΔT) = T2 - T1 = 420 K - 300 K = 120 K
Heat Capacity for Hydrogen
For diatomic gases like hydrogen (H2), the molar heat capacity at constant volume (Cv) is approximately:
- Cv = 5/2 * R, where R = 8.314 J/(mol·K)
Calculating Cv:
- Cv = (5/2) * 8.314 J/(mol·K) = 20.785 J/(mol·K)
Calculating the Increase in Internal Energy
Now, substituting the values into the internal energy formula:
- ΔU = n * Cv * ΔT
- ΔU = 1 mole * 20.785 J/(mol·K) * 120 K
- ΔU = 2494.2 J
Converting joules to kilojoules:
- ΔU = 2494.2 J / 1000 = 2.4942 kJ ≈ 2.49 kJ
Conclusion
Thus, the increase in internal energy when one mole of hydrogen gas is heated from 300 K to 420 K at constant pressure is approximately 2.49 kJ. Therefore, the correct answer is option 'A'.
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One mole of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate the increase in its internal energy.a)2.49kJb)2.65 kJc)2.15 kJd)2.85 kJCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about One mole of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate the increase in its internal energy.a)2.49kJb)2.65 kJc)2.15 kJd)2.85 kJCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One mole of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate the increase in its internal energy.a)2.49kJb)2.65 kJc)2.15 kJd)2.85 kJCorrect answer is option 'A'. Can you explain this answer?.
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