Verified Solution • 2025–26 Session moderate

QJEEM18Ch910e: JEE Main 2018 Chemistry - Class 11 JEEM18Ch910e Solution: Assuming ideal gas behaviour, the ratio of density of ammonia…

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)

Multiple Choice Options

  • A 1.46
  • B 0.46
  • C 1.64
  • D 0.64

Step-by-Step Verified Solution

We know, PV = nRT

n = no. of moles = mM{m \over M}

So,   PV = mMRT{m \over M}RT

⇒\Rightarrow     \,\,\,\, P = mV×RTM{m \over V} \times {{RT} \over M}

⇒\Rightarrow     \,\,\,\, P = d ×\times RTM{{RT} \over M} [ d = density = mV{m \over V} ]

at constant temperature and pressure d ∝\propto M

Now let d1 and d2 are the density of ammonia and HCl.

∴    \therefore\,\,\,\, d1d2=MNH3MHCl{{{d_1}} \over {{d_2}}} = {{{M_{N{H_3}}}} \over {{M_{HCl}}}}

⇒\Rightarrow     \,\,\,\, d1d2{{{d_1}} \over {{d_2}}} = 1736.5{{17} \over {36.5}} = 0.46

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