Question

Consider example 14.1. What is the ratio of the mass of a single molecule of the ideal gas in the example, to its (molecular velocity)2? Be sure that you're using the correct units and to include R in your function. (Hint: Your answer should be m/u2 = ??)

535 One mole of an ideal gas at 0°C and 1.00 atm pressure contains 6.022 x 10 molecules (Avogadro's number) and occupies a volume of 22.414 L. A good States of Matter Example 14.1 quality, bakeable valves are good to 10 system at 0°C and (a) 10 torr and (b) 10 tor? can be used at pressures of 10 tor and some vacuum fitting torr. What is the number of molecules in 1 cc of a vacuum Note: PV =nRT, where R=0.08206 liter atm K.mol 1 atm 759.9 torr; ty = te +273.15 lepolom odo Solution ad ansosibs Solve PV = nRT for n= PV RT (a) P1x10 torr x l atm = 1,316x101 atm g 0 u llon dto ulo 759.9 torr 1 L = 1x10 V=1 cm'x 0ng10' cm L T 0+273.15= 273.15 K Inuo ogendo biupil- (1.316x10 atm) x (1x10 L) PV = 5.871x106 mol - to 1nano mamd 0.08206x273.15 K 10 noitnionoo d bin i sns d oNumber of molecules =(5.871x1016 mol) x 6.022 x 1023 molecules RT mol = 3.535 x10' molecules in1 cc at 10 torr atm = 1,316x10 atm -11 P 1x10 torr x 759.9 torr (b) (1.316x10-1 atm)x (1x10 L) 0.08206 x273.15 K 871x10-19 mol PV RT Number of molecules (5.871x10 mol) x 6.022 x 102s molecules mol 19 = 3.535x10'molecules in 1 ce at 10tor There are more refined equations for gas behavior, one of which is the Van der Waals equation, ( a P+ (V-b)= R7T where a iss a constant for the interionic attraction between the molecules and b is a constant for the actual volume occupied by the molecules. The kinetic theory of gases also allows us to relate the mass and temperature of a molecule to its linear velocity. The equation is where N is the number of molecules, m is the mass of a single molecule of the gas, n is the number of moles of gas, and u is the molecular velocity. For one mole of =nR7 Nmu PV=

Answer 1

i have tried for a long time ,even though i could only find solution like this

PvNmu 3PV M2 4.h625メjo massal Shgle nolecule