Problem: The density of a gas of unknown molar mass was measured as a function of pressure at 0 oC, as in the table below. Pressure (atm)1.000.6660.5000.3330.250 Density  (g/L) 2.30741.52631.14010.75710.5660Determine a precise molar mass for the gas. Hint: Graph d / P versus P.

FREE Expert Solution

We’re being asked to calculate for the molar mass of a gas using the plot of density and pressure


Recall that to calculate using density, we can use the ideal gas equation.

PV=nRT


PVV=nRTV

P=nRTV

n=mass mmolar mass (M)

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Problem Details
The density of a gas of unknown molar mass was measured as a function of pressure at 0 oC, as in the table below.


 Pressure 




(atm)1.000.6660.5000.3330.250
 Density 




 (g/L2.30741.52631.14010.75710.5660


Determine a precise molar mass for the gas. Hint: Graph d / P versus P.