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Molecular speeds: Eleven molecules have speeds 16, 17, 18, ..., 26 m/s. Calculate the root-mean-square of this group of molecules. O 21.0 m/s O 21.5 m/s O 21.2 m/s O 21.7 m/s 2. The root-mean-square speed (thermal speed) of the molecules of a gas is 200 m/s at a temperature 23.0C. What is the mass of the individual molecules? The Boltzmann constant is 1.38 x 10-23 J/K. O 2.13 x 10-25 kg 5.66 x 10-25 kg O 2.45 x 10-25 kg O 3.11 x 10-25 kg 3. An ideal gas is at a pressure 1.00 x 105 N/m and occupies a volume 13.00 m3. If the pressure of the gas is changed to 9 times its initial pressure while the temperature remains constant, what will be the new volume of the gas in m3? 4. What is the mean free path of molecules in an ideal gas in which the mean collision time is 2.00 x 10-10 s, the temperature is 313K, and the mass of the molecules is 6.00 x 10-25 kg? Assume that the molecules are moving at their root-mean-square speeds. The Boltzmann constant is 1.38 x 10-25 J/K. Give your answer in Angstroms ( 1 Angstrom = 10-10 m) 5. A sealed 24.0-m' tank is filled with 1,423 moles of oxygen gas (O2) at an initial temperature of 270 K. The gas is heated to a final temperature of 499 K. The ATOMIC mass of oxygen is 16.0 g/mol, and the ideal gas constant is R = 8.314 J/mol . K = 8.314 J/mol . K. The final pressure of the gas in kiloPascals is closest to