Answer: 39.86 g/mol
Explanation:
Assuming this gas is at a pressure of
and a temperature of
, we can solve this problem with the Ideal Gas Law equation:
(1)
Where:
is the pressure of the gas
is the volume of the gas
the number of moles of gas
is the gas constant
is the absolute temperature of the gas in Kelvin
On the other hand, we know the density
is given by a relation between the mass
and the volume
:
(2)
Then, the mass is:
(3)
Another important fact here is that the molar mass
of an element is given by a relation between the mass of that element and the number of moles
it contains:
(4)
Isolating
:
(5)
Substituting (5) in (1):
(6)
Substituting (3) in (6):
(7)
Isolating
:
(8)
Simplifying:
(9)
Solving with the given data:
(10)
Finally:
This is the molar mass of the gas
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