Question

A clown at a birthday party has brought along a helium cylinder, with which he intends to fill balloons. When full, each balloon contains 0.040 m3 of helium at an absolute pressure of 1.2 105 Pa. The cylinder contains helium at an absolute pressure of 1.80 107 Pa and has a volume of 0.0031 m3. The temperature of the helium in the tank and in the balloons is the same and remains constant. What is the maximum number of balloons that can be filled?

Answer 1

11

Step-by-step explanation:

According to Boyle's law:

`P* V=constant`

Thus,

`P_(cylinder)* V_(cylinder)=n* P_(balloon)* V_(balloon)`

Where, n is the number of the balloons

From the question, it is given that:

For balloon:

P =
`1.2* 10^5` Pa

V = 0.040 m³

For cylinder:

P =
`1.80* 10^7` Pa

V = 0.0031 m³

So,

`1.80* 10^7* 0.0031=n* 1.2* 10^5* 0.040`

n = 11.625

So, Maximum number of balloons = 11