A cubic box with sides of contains molecules of helium with a root-mean-square speed of

PHYSICS · Single correct · CBSE · Physics · Kinetic Theory · Kinetic Theory

Problem

A cubic box with sides of 20.0 cm20.0\,\text{cm} contains 2.00×10232.00\times10^{23} molecules of helium with a root-mean-square speed of 200 m s−1200\,\text{m s}^{-1}. The mass of a helium molecule is 3.40×10−27 kg3.40\times10^{-27}\,\text{kg}. What is the average pressure exerted by the molecules on the walls of the container? (a) 3.39 kPa3.39\,\text{kPa} (b) 1.13 kPa1.13\,\text{kPa} (c) 570 Pa570\,\text{Pa} (d) 2.26 kPa2.26\,\text{kPa}

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