Q. The average kinetic energy of gas molecules at a given temperature is:

किसी दिए गए तापमान पर गैस अणुओं की औसत गतिज ऊर्जा है:

A
Different for different gases
अलग-अलग गैसों के लिए अलग-अलग
B
Same for all gases
सभी गैसों के लिए समान
C
Proportional to molecular weight
आणविक भार के समानुपाती
D
Inversely proportional to molecular weight
आणविक भार के व्युत्क्रमानुपाती

Explanation

According to kinetic molecular theory, the average kinetic energy depends only on temperature, not on the type of gas.

Fundamental equation: Average KE = (3/2)kT

Key points:

  • Independent of molecular mass
  • Independent of molecular structure
  • Only depends on absolute temperature
  • Same for all ideal gases at same temperature

Physical meaning:

  • Temperature is a measure of average kinetic energy
  • Heavier molecules move slower, lighter molecules move faster
  • But average kinetic energy remains constant

Example at 300 K:

  • H₂, O₂, CO₂ all have same average KE = (3/2)kT
  • But different average speeds due to different masses

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