(a) Compute the root-mean-square speed of a nitrogen molecule at 62.8°C. The molar mass of nitrogen molecules (N2) is 28.0×10-3kg/mol. At what temperatures will the root-mean-square speed be (b) 1/4 times that value and (c) 3 times that value?

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Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.