A balloon contains $14.0 L$ of air at $760 t o r r .$ . What will be the volume of the balloon when it is taken to a depth of $10 f t$ in a swimming pool? Assume that the temperature of the air and water are equal (density: $H g = 13.6 g / m L$ )

11.0

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

11.3

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

10

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

10.8

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

Open in App

Solution

The correct option is D $10.8$
we know, $P_{1} V_{1} = P_{2} V_{2}$

P $=$ pressure

V $=$ volume

$P_{1} =$ 760 torr

$V_{1} =$ 14 L

$10 f t = 3.048 m$

Density of water ( $ρ$ )= 1000

$g = 9.8 m / s^{2}$

We know,
$p = ρ g h$

So, $P_{2} = 1000 \times 9.8 \times 3.048 + 101325$

(we will get the value in Pascal)

In torr, we will get $984$

So, $V_{2} = \frac{P_{1} V_{1}}{P_{2}}$

$V_{2} = 760 \times \frac{14}{984} = 10.8 L$

Suggest Corrections

Similar questions

Q. A balloon contains

14.0

L of air at

760

torr. What will be the volume of the balloon when it is taken to a depth of

10

ft. in a swimming pool? Assume that the temperature of the air and water are equal.

(Density:

H g =

13.6

g/mL.)

A balloon contains 1 L of air at a particular temperature and 75 cm Hg pressure. Keeping the temperature constant if the pressure of air is reduced to 50 cm Hg, then what will be the volume of that air?

A balloon contains 1.2 L of air at a particular temperature and 90 cm Hg pressure. Keeping the temperature constant if the pressure of air is reduced to 70 cm Hg, then what will be the volume of that air?

A collapsible balloon is inflated to a volume of 10 L at a pressure of 1 atm. When the balloon is immersed to the bottom of a lake, its volume reduces to 1.25 L. Assuming 1 atm pressure to be equivalent to 10 m column of water and no change in temperature, the depth of the lake will be

Q. An air-filled balloon floats in water with half of its volume submerged. To what depth inside water should it be taken so that ir remains in equilibrium there? Take atmospheric pressure to be equal to

10 m

of water-height.

Join BYJU'S Learning Program

A balloon contains 14.0 L of air at 760 torr.. What will be the volume of the balloon when it is taken to a depth of 10 ft in a swimming pool? Assume that the temperature of the air and water are equal (density: Hg=13.6 g/mL)

The correct option is D 10.8we know, P1V1=P2V2P = pressureV = volumeP1= 760 torrV1= 14 L10ft=3.048mDensity of water (ρ)= 1000g=9.8 m/s2We know,p=ρghSo, P2=1000×9.8×3.048+101325(we will get the value in Pascal)In torr, we will get 984So, V2=P1V1P2V2=760×14984=10.8 L

A balloon contains $14.0 L$ of air at $760 t o r r .$ . What will be the volume of the balloon when it is taken to a depth of $10 f t$ in a swimming pool? Assume that the temperature of the air and water are equal (density: $H g = 13.6 g / m L$ )