A flask containing air (open to the...
Question
A flask containing air (open to the atmosphere) is heated from 300K to 500K. The percentage of air escaped to the atmosphere is
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A flask containing air (open to the atmosphere) is heated from ( 300 mathrm{K} ) to ( 500 mathrm{K} ). The percentage of air
escaped to the atmosphere is
(a) 16.6
(b) 40
(c) 60
(d) 20

JEE/Engineering Exams
Chemistry
Solution
105
Rating
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A flask containing air (open to the atmosphere) is heated from 300K to 500K. The percentage of air escaped to the atmosphere is
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( operatorname{}^{} quad v_{1}=v )
( T=300 k )
[
v_{2}=? quad T_{2}=500 mathrm{k}
]
From Ideal gas eqt"
[
begin{array}{l}
frac{V_{1}}{T_{1}}=frac{V_{2}}{T_{2}}=frac{V}{300}=frac{V_{2}}{500}
=frac{590 mathrm{V}}{368}=V_{2}=frac{5}{3} mathrm{V}
V_{2}=frac{5}{3} mathrm{V}
end{array}
]
So lrolume excaped ( =V_{f}-V_{i} )
[
=frac{5}{8} V-v=frac{5 v-3 v}{3}
]
[
=frac{2 V}{3}
]
of of are escaped ( =frac{2 v}{3} times 100 times frac{3}{5} )
[
=100 times frac{2}{5}=40 %
]
So option (2) is correct 

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