JEE Main On 16 April 2018 Question 2
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=35.5u $ ) [JEE Main 16-4-2018]
Options:
A) 16.4
B) 1.46
C) 0.64
D) 0.46
Show Answer
Answer:
Correct Answer: D
Solution:
- Ideal gas equation - $ PV=nRT $
$ n=m/M $ So, $ PV=mRT/M $
$ P=mRT/MV $
$ P=dRT/M $ s If temperature and pressure is constant then
$ d\propto M $ $ d _1/d _2=M _1/M _2 $
( $ d _1 $ and $ M _1 $ are density and molecular mass of ammonia)
( $ d _2 $ and $ M _2 $ are density and molecular mass of hydrogen chloride)
$ d _1/d _2=17/36.5 $ $ d _1/d _2=0.46. $
Note: P is pressure, V is volume, n is number of moles,
R is ideal gas constant and T is absolute temperature.
m is mass and M is molar mass. d is density.
