Question

The volume of a soda can is 495 ml. The soda is packed in the can at a pressure of 4.9 atmospheres. What will the new volume be when the can is reduced to 2.8 atmospheres in a cargo plane?

Answer 1

By applying Boyle's Law, we can calculate the new volume of a soda can when its pressure is reduced from 4.9 to 2.8 atmospheres, using the formula P1V1 = P2V2, and substituting the known values to find the unknown volume.

Step-by-step explanation:

The question pertains to the principles of gas behavior under varying pressures, specifically using Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is held constant. To find the new volume when the pressure is reduced in a cargo plane, we can set up the equation P1V1 = P2V2 where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume respectively.

If the initial volume (V1) of the soda can is 495 ml at a pressure (P1) of 4.9 atmospheres, and the pressure is reduced to 2.8 atmospheres (P2), the new volume (V2) can be calculated as follows:

(4.9 atm)(495 ml) = (2.8 atm)V2

Solving for V2 gives us V2 = (4.9 atm × 495 ml) / (2.8 atm), which will give us the new volume of the soda at the reduced pressure.