Final answer:
To determine the new pressure of an expanded gas, we use Boyle's Law, which establishes a relationship between pressure and volume for a given amount of gas at constant temperature.
Step-by-step explanation:
To solve this problem, we should use Boyle's Law, which states that the volume of a given amount of gas held at constant temperature varies inversely with the applied pressure when the temperature and amount of gas are kept constant. In other words, pressure multiplied by volume is a constant for a given mass of confined gas as long as the temperature is unchanged.
Boyle's Law is represented mathematically as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume, respectively.
Example Calculation Using Boyle's Law:
Let's say you have a gas at an initial pressure (P1) of 225kPa and volume (V1) of 2.30L, and it expands to a volume (V2) of 10.0L. We want to find the final pressure (P2), so we would set up the equation as follows:
225kPa * 2.30L = P2 * 10.0L
Solving for P2 gives us the final pressure after expansion.