Question

Calculate the volume of balloon it its initial volume is 2 L at 150 kPa and it is taken to the top of
mountain where pressure is reduced to 75 kPa. Assume that temperature remains constant.​

Answer 1

Answer:

Read explaination

Explanation:

According to the boyles law

p1V1=p2v2

(150)*(2)=(75)v2

=> V2= 300/75=100/25=4

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Answer 2

The volume at the top volume of the mountain is 4 litre.

Given:

The initial volume is 2 L at 150 kPa and it is taken to the top of the mountain where pressure is reduced to 75 kPa.

To Find:

The volume at the top volume of the mountain.

Solution:

To find the volume at the top of the mountain we will follow the following steps:

As we know,

According to the ideal gas equation for 1 mole of gas:

$pv \: = rt$

Here, p is the pressure v is the volume, r is the gas constant and t is the temperature.

Now,

At constant temperature,

Pressure is inversely proportional to volume.

So,

$\frac{p1}{p2} = \frac{v2}{v1}$

Now,

According to the question:

p1 = 150 kPa

p2 = 75 kPa

v1 = 2 L

v2 =?

In putting values we get,

$\frac{150}{75} = \frac{v2}{2}$

$v2 = \frac{150 \times 2}{75} = 4 \: litre$

Henceforth, the volume at the top volume of the mountain is 4 litre.

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