Suppose some nitrogen gas is contained in a cylinder whose volume is 0.00830 m³. The pressure in the box is 3.44 X 106 Pascals, and the temperature is 39°C. (Molecular weight of = 28) Find (a) the number of moles of nitrogen in the gas in the box, (b) the mass of one molecule of nitrogen (N2) (b) the average speed of a molecule in the gas.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
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Tc = TK - 273 ° C
T. +32
5
%3D
AL = a L,AT
AA = y A,AT y= 2a
AV = BV,AT B = 3a
Thermal Expansion
aL,AT
P1V1 = P2V2
Ti
AL =
T2
AA =y A,AT y = 2a
1/2 mv2 = 3/2kBT
AV = BV,AT ß = 3a
where kB is Boltzmann’s constant,
PV =
„RT
KB = 1.38 x 10-23 J/k
number of moles, n =
mass (grams)
molecular weight
Avogadro's number, NA = 6.02 x 1023
R = 8.31 J/mole-K
Transcribed Image Text:Tc = TK - 273 ° C T. +32 5 %3D AL = a L,AT AA = y A,AT y= 2a AV = BV,AT B = 3a Thermal Expansion aL,AT P1V1 = P2V2 Ti AL = T2 AA =y A,AT y = 2a 1/2 mv2 = 3/2kBT AV = BV,AT ß = 3a where kB is Boltzmann’s constant, PV = „RT KB = 1.38 x 10-23 J/k number of moles, n = mass (grams) molecular weight Avogadro's number, NA = 6.02 x 1023 R = 8.31 J/mole-K
Suppose some nitrogen gas is contained in a cylinder whose volume is 0.00830 m³. The
pressure in the box is 3.44 X 106 Pascals, and the temperature is 39°C. (Molecular weight of
= 28)
Find
(a) the number of moles of nitrogen in the gas in the box,
(b) the mass of one molecule of nitrogen (N2)
(b) the average speed of a molecule in the gas.
Transcribed Image Text:Suppose some nitrogen gas is contained in a cylinder whose volume is 0.00830 m³. The pressure in the box is 3.44 X 106 Pascals, and the temperature is 39°C. (Molecular weight of = 28) Find (a) the number of moles of nitrogen in the gas in the box, (b) the mass of one molecule of nitrogen (N2) (b) the average speed of a molecule in the gas.
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