1.40dm3 volume of a gas measurement at a temperature of 27 dgreeC an pressure of 900 torr was found to have mass 2.273 g . Calculate the molecular mass of the gas
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Given:
Volume of gas = 1.40dm³
Temperature = 27°C
Pressure = 900 torr
Mass = 2.273g
To find:
Molecular mass of the gas
Solution:
Appling the equation of Gas
PV=nRT,
Substituting the values -
P = 900/760
= 1.184 atom
Now,
T = 27 + 273
= 300oA
V = 1.40dm³
R = 0.0821 dm³
Substituting the values -
N =PV/RT
= ( 1.184 x 1.4 ) / ( 0.0821 x 300 )
= 0.067
Calculating the Mol. Wt.
= Wt. in g/mole
= 2.273/0.067
= 34
Answer: The molecular mass of the gas is 34 a.m.u.
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