Question

A plastic bag has a volume of 22.3 L at a pressure of 99.5 kPa. If you climb a mountain and the bag expands to a volume of 22.9 L, what is the air pressure at the top of the mountain?

Answer 1

Answer: The air pressure at the top of the mountain is 96.9 kPa

Step-by-step explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.

The equation given by this law is:

`P_1V_1=P_2V_2`

where,

`P_1\text{ and }V_1` are initial pressure and volume.

`P_2\text{ and }V_2` are final pressure and volume.

We are given:

`P_1=99.5kPa\\V_1=22.3L\\P_2=?\\V_2=22.9L`

Putting values in above equation, we get:

`99.5* 22.3L=P_2* 22.9L\\\\P_2=96.9kPa`

Thus the air pressure at the top of the mountain is 96.9 kPa