When an evacuated tube of volume 400 cm is filled with gas at 300 K and 101 kPa, the mass of
the tube increases by 0.65 g.
Assume the gas behaves as an ideal gas.
What could be the identity of the gas?
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Answer:
Given:-
Pressure (P)=103kPa≈1atm
Volume of gas (V)=5.37×10−3m3=5.37L
Temperature (T)=60℃=273+60=333K
No of moles of methane (n)=?
now, using ideal gas law,
PV=nRT
1×5.37=n×0.0821×333
⇒n≈0.2 mol
Now,
Molecular mass of methane (M)=16g
Therefore,
Mass of sample of methane =n×M=0.2×16=3.2g
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