Air fills a room in winter at $7^{\circ} C$ and in summer at $37^{\circ} C$ . If the pressure is the same in winter and summer the ratio of the weight of the air filled in winter and that in summer is

2.2

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1.75

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1.1

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3.3

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Solution

The correct option is B 1.1
From Ideal gas Law, we have $P V = n R T$
$⟹ P V = \frac{m}{M_{0}} R T$
$⟹$ At constant pressure $m \propto \frac{1}{T}$
Thus ratio of weight of air filled in winter to that in summer $= \frac{T_{s u m m e r}}{T_{w i n t e r}} = \frac{310}{280} = 1.1$

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Air fills a room in winter at 7∘C and in summer at 37∘C. If the pressure is the same in winter and summer the ratio of the weight of the air filled in winter and that in summer is

The correct option is B 1.1From Ideal gas Law, we have PV=nRT⟹PV=mM0RT⟹ At constant pressure m∝1TThus ratio of weight of air filled in winter to that in summer =TsummerTwinter=310280=1.1

Air fills a room in winter at $7^{\circ} C$ and in summer at $37^{\circ} C$ . If the pressure is the same in winter and summer the ratio of the weight of the air filled in winter and that in summer is

The correct option is B 1.1
From Ideal gas Law, we have $P V = n R T$
$⟹ P V = \frac{m}{M_{0}} R T$
$⟹$ At constant pressure $m \propto \frac{1}{T}$
Thus ratio of weight of air filled in winter to that in summer $= \frac{T_{s u m m e r}}{T_{w i n t e r}} = \frac{310}{280} = 1.1$