NCERT Class XI Chemistry States of Matter Solutions

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Question : 9
Total: 23
Density of a gas is found to be 5.46 g/dm3 at 27°C and at 2 bar pressure. What will be its density at STP?
Solution:  
We know that PV = nRT
or P =
m
V
×
RT
M
=
dRT
M

∴ d =
PM
RT

or d α
P
T
(R and M are constant for a given gas)
or
d1
d2
=
P1
P2
×
T2
T1
or d2 =
d1×P2×T1
P1×T2

d1 = 5.46 gdm3, P1 = 2 bar, T1 = 273 + 27 = 300 K, d2 = ?, P2 = 1 bar, T2 = 273 K
d2 =
5.46gdm3×1bar×300K
2bar×273K
= 3.0 gdm3
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