Savchenko Problem 5.2.1

Physics · mechanics · optics

Problem

In 1 cm3 at a pressure of 0.1 MPa there are 2.7⋅\cdot1019 nitrogen molecules. The number of molecules whose vertical velocity component lies in the range from 999 to 1001 m/s is 1.3⋅\cdot1012. a. What is the number of such molecules contained in 1 liter of nitrogen? b. How many nitrogen molecules with a vertical velocity component in the intervals of 1000±\pm0.1 and 1000±\pm10 m / s are contained in 1 m3 ? Assume that the number of molecules with a velocity that lies in a certain velocity interval is proportional to this interval.

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