The relationship between pressure and volume is known as Boyle's Law, which states that at a constant temperature, the pressure of a gas is inversely proportional to its volume. This means that as the pressure increases, the volume decreases, and vice versa.
To calculate the change in volume at a constant pressure, you can use the formula V1/V2 = P2/P1, where V1 is the initial volume, V2 is the final volume, P1 is the initial pressure, and P2 is the final pressure. Simply plug in the given values and solve for V2.
Keeping temperature constant is important because it allows us to use Boyle's Law to calculate the change in volume. If the temperature were to change, it would affect the pressure and therefore invalidate the use of this law.
Yes, this problem can also be solved using Charles' Law, which states that at a constant pressure, the volume of a gas is directly proportional to its temperature. However, since the problem specifies a constant pressure, Boyle's Law is the most appropriate law to use.
In this homework problem, the temperature does not directly affect the volume of the gas. However, it is necessary to keep the temperature constant in order to use Boyle's Law to calculate the change in volume.