alleryStart learning →The kinetic energy of a single gas particle of mass m moving at speed u is given by which expression?
Am times u squared
Bone half m times u
Cone half m u squared
Dtwo m times u squared
Answer & Solution
Correct answer: C. one half m u squared
1. Kinetic energy is one half of the mass multiplied by the square of the speed.
2. Doubling the speed therefore quadruples the kinetic energy, while doubling the mass only doubles it.
3. Put mass in kilograms and speed in metres per second and the answer comes out in joules.
4. One joule is one kg m squared per second squared, which is worth remembering when checking units.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 9 "Gases", section 9.5 The Kinetic-Molecular Theory_
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