NEET Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव NEET PYQ-States Of Matter

A bubble of air is underwater at temperature \[15{}^\circ C\] and the pressure 1.5 bar. If the bubble rises to the surface where the temperature is \[25{}^\circ C\] and the pressure is 1.0 bar, what will happen to the volume of the bubble? [AIPMT (M) 2011]

A) Volume will become greater by a factor of 1.6

B) Volume will become greater by a factor of 1.1

C) Volume will become smaller by a factor of 0.70

D) Volume will become greater by a factor of 2.9

Correct Answer: A

Solution :

\[\because \] \[\frac{{{p}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{p}_{2}}{{V}_{2}}}{{{T}_{2}}}\](By ideal gas equation)

or \[\frac{1.5\times {{V}_{1}}}{288}=\frac{1\times {{V}_{2}}}{298}\]

\[\therefore \] \[{{V}_{2}}=1.55\,{{V}_{1}}\]

i.e., volume of bubble will be almost 1.6 times to initial volume of bubble.