Question:

If the average kinetic energy of molecules of a gas at $30^\circ C$ is U, then temperature at which it becomes 2U is:

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Always convert °C to Kelvin for kinetic theory problems.
Updated On: Jun 17, 2026
  • 93°C
  • 303°C
  • 333°C
  • 60°C
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The Correct Option is C

Solution and Explanation


Step 1: Average kinetic energy is proportional to absolute temperature: \[ KE \propto T \]
Step 2: Given: \[ T_1 = 30^\circ C = 303K \]
Step 3: If KE doubles: \[ T_2 = 2T_1 = 606K \]
Step 4: Convert back to Celsius: \[ T_2 = 606 - 273 = 333^\circ C \]
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