A 1.00 mol sample of gas is confined in a rigid

CHEMISTRY · Multi-part · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures

Problem

A 1.00 mol sample of N2\text{N}_2 gas is confined in a rigid, sealed vessel. The gas is initially at 298 K and is then heated to 596 K. (a) Calculate the root-mean-square speed of the N2\text{N}_2 molecules at 298 K. (Molar mass of N2\text{N}_2: 28.0 g mol−1^{-1}; universal gas constant R=8.314 J mol−1 K−1R = 8.314\,\text{J mol}^{-1}\,\text{K}^{-1}.) (b) Determine the root-mean-square speed of the molecules after the temperature has reached 596 K. (c) By what percent has the root-mean-square speed changed as a result of the heating? Show your reasoning.

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