Question:

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)

Show Hint

For an ideal gas at fixed T and P, density is proportional to molar mass, since \(d = PM/RT\). So the ratio of densities equals the ratio of molar masses.
Updated On: Nov 11, 2026
  • 1.46
  • 0.46
  • 1.64
  • 0.64
Show Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

For an ideal gas, \(PV = \frac{w}{M}RT\), so density \(d = \frac{w}{V} = \frac{PM}{RT}\).
At the same T and P, \(d \propto M\).
Molar mass of \(\mathrm{NH_3}\) = 14 + 3 = 17 g/mol.
Molar mass of \(\mathrm{HCl}\) = 1 + 35.5 = 36.5 g/mol.
\(\frac{d_{NH_3}}{d_{HCl}} = \frac{17}{36.5} \approx 0.466 \approx 0.46\).
Answer: (2) 0.46
Was this answer helpful?
0
0