Calculating Change in Volume of a Bounce House Using Compressed Air

Understanding the Change in Volume Calculation

When a partially collapsed bounce house is inflated using compressed air, the volume of the bounce house increases from 201 L to 16700 L against a constant atmospheric pressure of 0.998 atm. To calculate the change in volume, we can use the formula:

V1 * P1 = V2 * P2

where:

V1 and P1 are the initial volume and pressure, respectively,

V2 and P2 are the final volume and pressure.

Given data:

  • Initial volume (V1): 201 L
  • Final volume (V2): 16700 L
  • Atmospheric pressure (P1): 0.998 atm

Now, we can rearrange the formula to find the change in volume:

Change in volume = V2 - V1

Substitute the given values into the equation:

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

Therefore, the change in volume of the bounce house when inflated with compressed air is 16599 L.

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