22.4 litres of a gas weighs 70g at S.T.P. Calculate the weight of the gas if it occupies a volume of20 litres at 27℃ and 700 mm Hg of pressure

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Solution

$A c c o r d i n g t o i d e a l g a s e q u a t i o n p V = n R T p V = \frac{W}{M} R T p = 700 m m o f m e r c u r y (c o n v e r t t h i s t o a t m b e c a u s e t h e R v a l u e i s i n a t m 760 m m o g H g = 1 a t m s o 700 m m o f H g = \frac{700}{760}) V = 20 L T = 27^{0} C = 27 + 273 = 300 K R = 0.0821 L a t m M = m o l e c u l a r m a s s = 70 g (\sin c e 1 m o l e o f a n y g a s o c c u p i e s 22.4 L) W = ? W = \frac{M p V}{R T} = \frac{70 \times \frac{700}{760} \times 20}{0.0821 \times 300} = 52.35 g$

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