Question

A balloon is filled with helium in an airplane, where the air pressure is 81 kPa. The filled balloon has volume of 4.2 L. When the plane lands, the cabin is depressurized to the outside air pressure, which is 94 kPa. If the temperature of the balloon remains the same, what is the new volume of the balloon?

Answer 1

3.62L

Step-by-step explanation:

Using Boyle's law equation i.e

P1V1 = P2V2

Where;

P1 = initial pressure

V1 = initial volume

P2 = final pressure

V2 = final volume

According to information provided in this question, P1 = 81kPa, P2 = 94kPa, V1 = 4.2L, V2 = ?

P1V1 = P2V2

81 × 4.2 = 94 × V2

340.2 = 94V2

V2 = 340.2/94

V2 = 3.619

V2 = 3.62L