Respuesta :
Answer: 64 g/mol
Explanation: Divide pi + 3 by 6.2 then take the square root and multiply by ten
The statement for the molar mass of a gas is "64.23g/mol".
What is molar mass of a gas?
The mass of a single particle of a given gas multiplied by Avogadro's number equals the molar mass of that gas (6.02 x [tex]10^{23}[/tex]). The ideal gas law, PV = nRT, can be used to calculate a gas's molar mass by replacing n, the number of moles, with the definition of molar mass.
Initially, the volume of the gas can be calculated by using ideal gas equation.
For 1 mole of a gas, n = 1, R = 0.0823 liter.atm/mol.K
Now,
[tex]PV = nRT\\ V = \frac{nRT}{P}\\ = \frac{1\;.\;0.0823\; liter.atm/mol.K\;.\;298\;K}{2.75\;atm} \\ = 8.918\; L/mol[/tex].
Then, molar gas the can be determined by using density formula,
[tex]d = \frac{m}{V} \\m = d.V\\[/tex]
Molar mass of the gas
[tex]= 7.20\;g/L*8.918\; L/mol\\= 64.2096\; g/mol[/tex]
≈ 64.23 g/mol
Hence, the correct answer is 64.23g/mol.
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