Point of Interest Intermolecular Interactions

The difference between the ideal gas and any real gas is that a real gas is composed of particles (atoms or molecules) that interact both attractively and repulsively with one another, whereas the ideal gas is composed of hypothetical non-interacting point masses. Not only is intermolecular interaction important for gases, it is responsible for crystal structure, it plays a role in biological processes that take place in water, it gives rise to properties of certain materials, and it has an influence on chemical reactions in liquids. The study of intermolecular interaction began with the study of real gases. 

1 Find the pressure in pascals (see Appendix F for information on units) in a closed 1L container of air at 300 K if it contains 1 mol of gas particles and if the air is presumed to obey the ideal gas law. 

2 Assuming Equation 2.7 holds, calculate the pressure of a sample of 3mol of argon contained in a 100 L vessel at a temperature of 100 K. 

4 Consider a bicycle tire inflated to a pressure measured to be 401b in. with the ambient temperature being 70°F. If the bicycle is used for some time and the temperature of the tire rises to 105°F, what is the tire pressure assuming ideal gas behavior and assuming the volume of the tire was constant  

5 What are the mean, most probable, and root-mean-squared speeds of oxygen molecules at 300 and 400K treating them as if they behave as ideal point-mass gas particles  

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