JEE Advance - Chemistry (1985 - No. 15)
Explanation
The statement that the kinetic energy of a molecule is zero at 0°C is FALSE (Option B).
Kinetic energy is directly related to the temperature of an object, but it does not reach zero unless the temperature is at absolute zero, which is -273.15°C or 0 Kelvin. At 0°C (273.15 Kelvin), molecules in any substance still possess kinetic energy. This kinetic energy is due to the motion of the molecules, which continue to vibrate, rotate, or translate depending on their state (solid, liquid, or gas).
The kinetic energy (KE) of an individual molecule can be quantified using the equation:
$$ KE = \frac{1}{2} m v^2 $$
Where:
- m = mass of the molecule
- v = velocity of the molecule
At any temperature above absolute zero, the velocity v is not zero, so the kinetic energy is also not zero. As long as there is thermal energy (any temperature above absolute zero), molecules will have kinetic energy due to their motion.
Therefore, at 0°C, molecules still have kinetic energy derived from their thermal energy, proving the statement to be false.
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