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#1. The molar mass of a gas with a density of \( 5.8~gL^{–1} \) at 25 °C and 740 mm Hg is closest to

1 mole of any gas occupies 24 L at \( 20^{o}C \) and 760 mm Hg.

Using the ideal gas equation of pV = nRT,

\( R=\frac{760\times 24}{293K} \)

Substituting R in the ideal gas equation again yields,

\( V=\frac{760\times 24\times 298K}{740\times 293K} \)

Since density = mass/volume or 5.8 = (mass per mole)/V,

mass per mole (or molar mass) is 145.4 g/mol, which is closest to (C).

 

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