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(D) The structural isomers $C_2H_5OH$ (ethanol) and $CH_3OCH_3$ (dimethyl ether) have the same molecular formula,$C_2H_6O$,and therefore the same mola

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Gaseous densities at the same temperature and pressure

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(D) The structural isomers $C_2H_5OH$ (ethanol) and $CH_3OCH_3$ (dimethyl ether) have the same molecular formula,$C_2H_6O$,and therefore the same molar mass $(M = 46.07 \ g/mol)$.According to the ideal gas law,$PV = nRT = (m/M)RT$,which can be rearranged to $d = (PM)/(RT)$,where $d$ is the density.Since both compounds have the same molar mass $(M)$,they will have the same gaseous density $(d)$ at the same temperature $(T)$ and pressure $(P)$.Properties like boiling point,vapour pressure,and heat of vaporization depend on intermolecular forces.Ethanol exhibits strong hydrogen bonding,whereas dimethyl ether does not,leading to significant differences in these physical properties.

For which of the following parameters would the structural isomers $C_2H_5OH$ and $CH_3OCH_3$ be expected to have the same values? (Assume ideal behavior)

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