A gas at 250K and 15atm has a molar volume 12% smaller than that calculated for the equation of state of an ideal gas. Hence calculate: The compressibility factor (Z) for this temp and pressure The molar volume of the gas
a) By definition \[ Z = \frac{V_{observed}}{V_{ideal \ gas \ law}} \] Hence what is Z here? b) Molar volume \( V_m \) is given by \[ V_m = \frac{RT}{p} \] where R is the ideal gas constant, T the temperature (in K of course) and p is the pressure. Hence, you now need to calculate.
(in part (b), just verify the units do what you want them to do; i.e., make sure that using pressure in atm is consistent with the R you are using.)
what is the volume for ideal gas?
You know V_observed is 12% smaller than V_ideal. So from that you can calculate Z.
how to get the compression fctor n molar volume for this q?
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