An evacuated glass vessel weights 50.0 g when empty. 148.0 gm when filled with a liquid of density 0.98 g/mL and 50.5 g when filled with an ideal gas at 760 mm Hg at 300 K. Determine the molecular weight of the gas.
125
152
141
none of these
A
125
B
141
C
none of these
D
152
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Solution
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mass of containers =50g
∴ mass of liquid =(148−50)
=98g
density=0.98g/mL
V=md
=980.98×100
=100mL
=0.1mL
mass of gas =(50.5−50)g
=0.5g
⇒P=760mm of Hg=1atm
T=300K
∴PV=nRT
1×0.1=n×112×300
n×25=0.1
n=0.1250
n=0.004
∴ mass of 0.004mole=0.5g
∴ mass of 0.004mole=0.5×10004
=125g
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