A 5.00 L steel cylinder contains dry nitrogen gas (

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

Problem

A 5.00 L steel cylinder contains dry nitrogen gas (N2\text{N}_2, molar mass = 28.02 g mol−1^{-1}) at a temperature of 298 K and a pressure of 2.50 atm. The gas behaves ideally. (a) Calculate the rms speed of a nitrogen molecule in the cylinder at 298 K. Express your answer in m s−1\text{m s}^{-1} and use an appropriate number of significant figures. (b) Convert the value obtained in part (a) to km h−1\text{km h}^{-1}. Show your unit analysis clearly.

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