(a) An ideal gas occupies a volume of 3.0 cm^3 at 20 degree C and atmospheric pr
ID: 1629508 • Letter: #
Question
(a) An ideal gas occupies a volume of 3.0 cm^3 at 20 degree C and atmospheric pressure. Determine the number of molecules of gas in the container. molecules (b) If the pressure of the 3.0-cm^3 volume is reduced to 2.4 times 10^-11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container? mol Gas is contained in a 9.00-L vessel at a temperature of 24.0 degree C and a pressure of 8.00 atm. (a) Determine the number of moles of gas in the vessel. mol (b) How many molecules are in the vessel? moleculesExplanation / Answer
given
V = 3 cm3 = 3 X 10-6 m3
T = 200 C = 293 K
P = 1.013 X 105 Pa
using PV = n R T
n = PV / RT
n = 1.013 X 105 X 3 X 10-6 / 8.314 X 293
n = 1.247 X 10-4 moles
N = n X 6.023 X 1023 molecules
N = 1.247 X 10-4 X 6.023 X 1023
N = 7.52 X 1019 molecules
b )
using n = PV / RT
n = 2.4 X 10-11 X 3 X 10-6 / 8.314 X 293
n = 2.955 X 10-20 moles
-------------------------------------------------------------------
n = PV / RT
= 8 X 9 / 0.0821 X 297
n = 2.952 moles
b )
N = n X 6.023 X 1023 molecules
N = 2.952 X 6.023 X 1023 molecules
N = 1.778 X 1024 molecules
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