Question

A cylinder of 5 L capacity, filled with air at NTP is connected
with another evacuated cylinder of 30 L of capacity. The
resultant air pressure in both the cylinders will
(a) 10.8 cm of Hg (b) 14.9 cm of Hg
(c) 21.8 cm of Hg (d) 38.8 cm of Hg

Answer 1

The  resultant air pressure in both the cylinders will 10.8 cm of Hg.

Step by step explanation:

According to the Boyle's law -

"At constant temperature the volume of a given mass of a dry gas is inversely proportional to its pressure".

                                       $\bold{P_{1}V_{1}=P_{2}V_{2}}$......................(1)

$\bold{P_{1}}=?$

$\bold{V_{1}}=5L$

$\bold{P_{2}}=?$

$\bold{V_{2}}=30+5=35L$

Substitute the values in equation (1)

                                   $P_{1}\times\,5=P_{2}\times35$

                                          $P_{1}=7P_{2}$

                                          $P_{2}=\frac{76}{7}=10.8\,cm\,of\,Hg$

Therefore, The  resultant air pressure in both the cylinders will 10.8 cm of Hg.

Hence,Correct answer is "a".

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