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What is the molar mass of a 1.25 g sample of gas that occupies a volume of 1.00L at a pressure of 0.961 ATM and a temp of 27°C

Respuesta :

Answer:

The molar mass of the gas is 32.03 g/mol

Explanation:

Pressure of gas = P = 0.961 atm

Volume occupied by gas = V = 1.00 L

Temperature = T = 27[tex]^{\circ}C[/tex] = 300 K

Assuming M g/mol be the molar mass of the gas and the gas behaves as an ideal gas.

The ideal gas equation is shown below

[tex]\textrm{PV} =\textrm{nRT} \\\textrm{PV} = \displaystyle \frac{m}{M}\textrm{ RT } \\0.961 \textrm{ atm}\times 1.00 \textrm{ L} = \displaystyle \frac{1.25 \textrm{ g}}{M}\times 0.0821 \textrm{ L.atm.mol}^{-1}.K^{-1}\times 300\textrm{K} \\M = 32.03 \textrm{ g/mol}[/tex]

Molar mass of given sample of gas = 32.03 g/mol

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