Activity: Under conditions of pressure and temperature close to normal (100 kPa, 25 °C), 99.97% of the gas volume is taken up by empty space. How does this percentage change when 1 m' of a gas measured under these conditions is compressed until its pressure reaches 50 MPa? Assume that the temperature does not change during compression and that the gas obeys Boyle's law. Calculate the volume of the particles contained in 1 m' of a gas at p1 = 100 kPa. 0.03 % X 1 3 m Vmol = 0.0003 m 3 %3D 100% Calculate the volume of the gas after compression. P1 x V1 = P2 x V2 %3D 3 m 100 V2 kPa x 1 = 0.002 m 3 %3D 50000 kPa Calculate the percentage of the volume taken up by empty space at p2 = 50 MPa. %3D 0.002 m - 0.0003 m X = X 100% = m3

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Activity: Under conditions of pressure and temperature close to
normal (100 kPa, 25 °C), 99.97% of the gas volume is taken up by
empty space. How does this percentage change when 1 m of a
gas measured under these conditions is compressed until its
pressure reaches 50 MPa? Assume that the temperature does not
change during compression and that the gas obeys Boyle's law. Calculate
the volume of the particles contained in 1 m' of a gas at p1 = 100 kPa.
m3
= 0.0003 m3
0.03
% X 1
Vmol
100%
Calculate the volume of the gas after compression.
P1 x V1 = P2 x V2
100
V2
kPa x 1
m
= 0.002
50000
КРа
Calculate the percentage of the volume taken up by empty space
at p2 = 50 MPa.
0.002
3
m
0.0003 m'
X 100% =
%
3
Transcribed Image Text:15 Tmuitimeula assets PLUS ACLASSROOM VIDEO DISTRICT Activity: Under conditions of pressure and temperature close to normal (100 kPa, 25 °C), 99.97% of the gas volume is taken up by empty space. How does this percentage change when 1 m of a gas measured under these conditions is compressed until its pressure reaches 50 MPa? Assume that the temperature does not change during compression and that the gas obeys Boyle's law. Calculate the volume of the particles contained in 1 m' of a gas at p1 = 100 kPa. m3 = 0.0003 m3 0.03 % X 1 Vmol 100% Calculate the volume of the gas after compression. P1 x V1 = P2 x V2 100 V2 kPa x 1 m = 0.002 50000 КРа Calculate the percentage of the volume taken up by empty space at p2 = 50 MPa. 0.002 3 m 0.0003 m' X 100% = % 3
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