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Class 11
>>Chemistry
>>States of Matter
>>Ideal Gas Equation
>>Molar volume is the volume ...
Question
Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP : 1 atmospheric pressure, 0
o
C). Show that it is 22.4 litres.
Medium
Solution
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The ideal gas equation relating pressure (P), volume (V), and absolute temperature (T) is given as:
PV = nRT
Where,
R is the universal gas constant =8.314Jmol
−1
K
−1
n = Number of moles = 1
T = Standard temperature = 273 K
P = Standard pressure = 1 atm =1.013×10
5
Nm
−2
∴V=nRT/P
=1×8.314×273/(1.013×10
5
)
=0.0224m
3
=22.4 litres
Hence, the molar volume of a gas at STP is 22.4 litres.
Answer:
Volume = amount in mol × molar volume.
Volume = 0.25 × 24dm³
= 6 dm³
= 3dm