The diatomic gas is Nitrogen.
What is diatomic gas?
Diatomic gases have only two atoms, which can be of the same or distinct chemical elements.
Some diatomic gases are hydrogen, oxygen, bromine, iodine, etc.
Calculation:
Given,
Temperature = 28.0 °C (28 + 273.15 = 301.15 K)
Difference in Mass = 3.5 g
Volume = 3.1 L
Pressure = 1.0 atm.
Step 1: By Boyle's law
[tex]\bold{n = 1\; atm \times\dfrac{3.1 L}{0.0821\; L. atm.} \times 301.15 K}[/tex]
[tex]\bold{n = \dfrac{3.1 L. atm }{24.72 L. atm}= 0.13 mol }[/tex]
Step 2: Now we will calculate the molar mass
[tex]\bold {Molar\; mass = \dfrac{mass}{number \;of \;moles} }[/tex]
[tex]\bold {Molar\; mass = \dfrac{3.5\;g}{0.13\;mol} =26.9 g/mol }[/tex]
As the gas is diatomic, the atomic mass will be half of 26.9 g/mol.
Thus, mass = 13.45 g/mol.
Hence, The diatomic gas which has an atomic mass closer to 13.45 is Nitrogen.
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The gas is diatomic so, atomic mass will be half of 26.9 g/mol.
26.9 g/mol / 2 = 13.45 g/mol
The diatomic gas which has an atomic mass closer to 13.45 is Nitrogen.
