A helium gas cylinder of the sort used to fill balloons has a volume of 180 L and and a pressure of 2200 psi ( 150 atm) at 25° C. How many moles of helium are in the tank? How many grams?
Given n
=
Mass
Molar mass
=
P
V
R
T
.
Mass
=
P
V
R
T
×
molar mass
,
.........Agreed........?
And, as is typical, we use the value of..........
R
=
0.0821
⋅
L
⋅
a
t
m
⋅
K
−
1
⋅
m
o
l
−
1
The which has units that chemists typically use. And so we plugs in the numbers:
Mass
=
1.2
⋅
a
t
m
×
2.00
⋅
L
×
4.00
⋅
g
⋅
m
o
l
−
1
0.0821
⋅
L
⋅
a
t
m
K
⋅
m
o
l
×
300
⋅
K
≅
400 moles
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