1. Tardigrade
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  4. Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and pressure is: (Atomic wt. of Cl=35.5 u)

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Q. Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and pressure is : (Atomic wt. of $Cl=35.5\, u$)

JEE MainJEE Main 2018States of Matter

Solution:

We have $M=\frac{\rho R T}{p}$...(1)

where $\rho$ is the density of the gas in gram per litre, $M$ is the molar mass, $R$ is the universal gas constant, $T$ is the temperature and $p$ is the pressure.

If temperature and pressure are constant, then $\rho \propto M$

$\frac{\rho_{ NH _{3}}}{\rho_{ HCI }}=\frac{M_{ NH _{3}}}{M_{ HCl }}=\frac{17}{36.5}=0.46$