Final answer:
To determine the final pressure of a helium balloon that expands from 3 m³ to 7 m³, we use the combined gas law, assuming constant temperature. The pressure decreases as the balloon volume increases, but without the initial pressure, we cannot provide a numeric value for the final pressure.
Step-by-step explanation:
The question involves a high-altitude balloon partially filled with helium that expands as it ascends through the atmosphere. To find what pressure the gas will have when it expands to its maximum volume, we can use the combined gas law, which relates pressure, volume, and temperature. This law is expressed as (P1 * V1) / T1 = (P2 * V2) / T2, where P represents pressure, V represents volume, and T represents temperature.
Assuming the temperature remains constant, and since we know the initial volume (V1 = 3 m³) and the final volume (V2 = 7 m³), we can say that the pressure will decrease as the volume increases because P1 * V1 = P2 * V2. However, without knowing the initial pressure and assuming the temperature is constant or this process happens isothermally, we would be unable to provide a numerical value for the final pressure.
Typically, pressure decreases with altitude due to thinner air, so the pressure at 7 m³ will be lower than at sea level. In practice, if the initial pressure was known, we could calculate the final pressure using the initial and final volumes.