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JEE Advanced 2018Paper 1
Exam
JEE Advanced
Year
2018
Paper
Paper 1
Subject
Chemistry
Chapter
States of Matter

JEE Advanced 2018 · Paper 1 · Chemistry · States of Matter

A closed tank has two compartments A and B , both filled with...

A closed tank has two compartments A and B, both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure11). If the old partition is replaced by a new partition which can slide and conduct heat but does not allow the gas to leak across (Figure 22), the volume (in m3{m}^{3}) of the compartment A after the system attains equilibrium is _________.
A closed tank has two compartments A and B , both filled with oxygen (assumed to be ideal gas). The partition
A closed tank has two compartments A and B , both filled with oxygen (assumed to be ideal gas). The partition

Correct answer

0

Step-by-step solution

A closed tank has two compartments A and B , both filled with oxygen (assumed to be ideal gas). The partition When equilibrium is established, the final TT and PP would be the same. Hence, volume ration would be equal to mole ratio. v1v2=n1n2\dfrac{{v}_{1}}{{v}_{2}} = \dfrac{{n}_{1}}{{n}_{2}} ⇒v1v2=5400R3300R=54⇒ \dfrac{{v}_{1}}{{v}_{2}} = \dfrac{\dfrac{5}{400R}}{\dfrac{3}{300R}} = \dfrac{5}{4} ∴v1vT=59∴ \dfrac{{v}_{1}}{{v}_{T}} = \dfrac{5}{9} ∴v1=59×vT=59×4∴ {v}_{1} = \dfrac{5}{9} \times {v}_{T} = \dfrac{5}{9} \times 4 =2.22= 2.22
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