3/ A flask with a volume of 1.50 L, provided with a stopcock, contains ethane gas (C2H6) at 300 K and atmospheric pressure (1.013 105 Pa). The molar mass of ethane is 30.1 g/mol. The system is warmed to a temperature of 380 K with the stopcock open to the atmosphere. The stopcock is then closed, and the flask is cooled to its original temperature.
(a) What is the final pressure of the ethane in the flask?
(b) How many grams of ethane remain in the flask?
4/ Smoke particles in the air typically have masses of the order of 10-16 kg. The motion of these particles, resulting from collisions with air molecules, can be observed with a microscope.
(a) Find the root-mean-square speed for a particle with a mass of 3.00 10-16 kg in air at 300 K.
(b) Would the root-mean-square speed be different if the particle were in hydrogen gas at the same temperature? Explain.
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