KVPY SA Exam 2013 Question Paper

Question : 29 of 80

Marks: +1, -0

An ideal gas filled in a cylinder occupies volume V. The gas is compressed isothermally to the volume

V/3

. Now the cylinder valve is opened and the gas is allowed to leak keeping temperature same. What percentage of the number of molecules should escape to bring the pressure in the cylinder back to its original value?

66%
33%
0.33%
0.66%

Validate

Solution:

{\P_1\V_1}/\n_1={\P_2\V_2}/\n_2

{\P_1\V_1}/\n_1={\P_2 .\V/3}/\n_2

⇒\n_2=\n_1/3

Now,

2/3

of Gas will come out to make the presence

\P_1

Hence 66.66%

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