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HW%201%20Solutions - HW 1 Solutions CH 353 Physical...

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HW 1 Solutions CH 353: Physical Chemistry I (54655) Spring 2008 I. True or false? (1) Doubling the absolute temperature of an ideal gas at fixed volume and amount of gas will double the pressure. (2) To determine the mass m of an unknown perfect gas in a container of the volume V it is enough to determine its pressure P and temperature T . (3) All ideal gases have the same density at 25°C and 1 bar. (4) All ideal gases have the same number of molecules per unit volume at 25°C and 10 bar. (5) The Van der Waals equation takes into account all the intermolecular interactions. I. Solutions (1) True: the pressure of an ideal gas is directly proportional to its temperature. (2) False: Though PV=nRT one must use the molecular weight of the unknown to determine the density ρ . (3) False: see (2) (4) True: see (2) (5) False: The Van der Waals equation is an approximate solution utilizing the empirical parameters a and b , which are considered coefficient values that are imprecisely defined at molecular resolution.
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