If a balloon filled with an ideal gas is taken from the surface of a sea to a depth of 150 m, then in terms of its original volume, its volume will be ____.

6.4 %

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

8.4 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9.4 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7.4 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 6.4 %
Its volume in terms of its original volume will be 6.4% of V. Pressure on the surface = 76 cm of Hg = 76 × 13.6 cm of water = 1033.6 cm = 10.3 m of water
Pressure at 150 m depth = 150 + 10.3 m = 160.3 m
Applying Boyle's law, P $_{1}$ V $_{1}$ at surface = $P_{2} V_{2}$ at 150 m depth 10.3 × V $_{1}$ = 160.3 × V $_{2}$
V $_{2}$ = 0.0642 V $_{1}$
= 6.4% of V $_{1}$

Suggest Corrections

Similar questions

a balloon filled with an ideal gas is taken from the surface of the sea deep to a depth of 100m what will be its volume in terms of its original volume?

A balloon filled with an ideal gas is taken from the surface of the sea to the depth of 100m. What will be the volume in terms of its original volume?

Q. A gas filled freely collapsible balloon is pushed fro the surface level of a lake to a depth of

50 m

. Approximately what per cent of its original volume will be balloon finally have, assuming that the gas behaves ideally and temperature is same at the surface and at

50 m

depth?

Q. A gas-filled freely collapsible balloon is pushed from the surface level of a lake to a depth of 100 mts. The percent of the original volume that the balloon has is (express as nearest integer %, assume ideal gas nature)

Q. A sample of an ideal gas having an internal energy U, is then compressed to one half of its original volume, while the temperature remains same. What is the new internal energy of the ideal gas in terms of U

Join BYJU'S Learning Program