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.
This question appeared on the UHS MDCAT 2011 paper, which you can sit online with every answer explained.
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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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