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3.7 g of a gas at $25^{\large\circ}C$ occupy the same volume as 0.184g of $H_2$ at $17^{\large\circ}C$ at same pressure. What is moleculer weight of gas?

$(a)\;42.6\qquad(b)\;41.326\qquad(c)\;40.19\qquad(d)\;43.4$

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For $H_2$
W = 0.184g
T = 290K at pressure P and Volume V
$PV = \large\frac{0.184}{2}\times R\times290$ ---------(1)
For gas
W = 3.7 g
T = 298 K at Pressure P and Volume V
$PV = \large\frac{3.7}{m}\times R\times298$-------(2)
By (1) and (2)
$\large\frac{0.84}{2}\times R\times290 = \large\frac{3.7}{m}\times R\times298$
m = 41.326
Hence answer is (b)
answered Feb 20, 2014 by sharmaaparna1
 

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