A) 61.575
B) 130.98
C) 123.75
D) 47.87
Correct Answer: A
Solution :
Weight of empty glass vessel \[=50\text{ }g\] Weight of glass vessel filled with liquid = 144.0 g \[\therefore \] Weight of liquid \[=144-50=94g\] Density of liquid\[=0.47\text{ }gm{{L}^{-1}}\] \[\therefore \]Volume of liquid\[=\frac{94}{0.47}=200\text{ }mL=0.2\text{ }L\] Mass of glass vessel filled with gas \[=50.5\text{ }g\] \[\therefore \] Mass of gas (m) \[=50.5-50=0.5\text{ }g\] By using ideal gas equation. \[pV=\frac{m}{M}RT\] Where, \[p=760\text{ }mm.\text{ }Hg=1\text{ }atm,\] \[V=0.2L,T=300K.\] and \[R=0.0821\text{ }L\text{ }atm\text{ }{{K}^{-1}}mo{{l}^{-1}}\] \[\therefore \]Molar mass\[(M)=\frac{mRT}{pV}\] \[=\frac{0.5\times 0.0821\times 300}{1\times 0.2}\] \[=61.575\text{ }g\text{ }mo{{l}^{-1}}\]You need to login to perform this action.
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