Question

Compressed air is used to inflate a partially collapsed bounce house from 201 l to 16700 l against a constant atmospheric pressure of 0.998 atm. What is the change in volume of the bounce house?

Answer 1

The change in volume of the bounce house is 16599 L.

Step-by-step explanation:

To find the change in volume of the bounce house, we will use the equation

V1 * P1 = V2 * P2

where V1 and P1 are the initial volume and pressure, and V2 and P2 are the final volume and pressure. We are given:

Initial volume (V1) = 201 L

Final volume (V2) = 16700 L

Atmospheric pressure (P1) = 0.998 atm

We can rearrange the equation to solve for the change in volume:

Change in volume = V2 - V1

Substituting the given values:

Change in volume = 16700 L - 201 L = 16599 L

Therefore, the change in volume of the bounce house is 16599 L.