Asked in UHS MDCAT 2011 2011Moderate

Which of the following is the expression of root mean square speed of a gas having n number of molecules contained in the container?

Correct answer: A. Option A

  • A. Option A
  • B. Option B
  • C. Option C
  • D. Option D

Explanation

Root mean square speed follows from PV = (1/3)Nm<v^2>, giving v_rms = sqrt(3PV/Nm), equivalently sqrt(3kT/m) for one molecule or sqrt(3RT/M) per mole. The choices in this paper were printed as diagrams rather than text, so learn the expression itself rather than the option label.

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About Thermodynamics

Thermal equilibrium and heat explain how temperature and energy transfer are related, while molar specific heats describe the heat required by a gas at constant volume or constant pressure. The first law connects heat supplied, work done and change in internal energy, with sign conventions kept distinct from temperature changes.

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